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LCM of 52 and 53

What is the LCM of 52 and 53? - The LCM of 52 and 53 is 2756. Follow the step by step instructions on how to find the least common multiple of 52 and 53.

Least Common Multiple of 52 and 53

Number 1:
Number 2:

What is the least common multiple of 52 and 53?

Answer: 2756

How to find the lcm of 52 and 53?

Method 1 - Listing Multiples

To find the lcm of 52 and 53, we first need to find the multiples of 52 and 53 and then choose the least common multiple that are dividable by 52 and 53.

Multiples of 52 = 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352, 1404, 1456, 1508, 1560, 1612, 1664, 1716, 1768, 1820, 1872, 1924, 1976, 2028, 2080, 2132, 2184, 2236, 2288, 2340, 2392, 2444, 2496, 2548, 2600, 2652, 2704, 2756
Multiples of 53 = 53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749, 1802, 1855, 1908, 1961, 2014, 2067, 2120, 2173, 2226, 2279, 2332, 2385, 2438, 2491, 2544, 2597, 2650, 2703, 2756

The least common multiple of 52 and 53 is 2756, because 2756 is the smallest number that is divisible by both 52 and 53.





Method 2 - Prime Factorization

Another method to find the least common multiple of 52 and 53 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 52 and 53, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 52 = 2 x 2 x 13 = 22 x 13
Prime factorization of 53 = 53
Prime factors to the highest power = 13 x 22 x 53 = 2756

LCM of 51 and 53
LCM of 53 and 53
LCM of 52 and 54
LCM of 52 and 52

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