LCM of 230 and 22

What is the LCM of 230 and 22? - The LCM of 230 and 22 is 2530. Follow the step by step instructions on how to find the least common multiple of 230 and 22.

What is the least common multiple of 230 and 22?

How to find the lcm of 230 and 22?

To find the lcm of 230 and 22, we first need to find the multiples of 230 and 22 and then choose the least common multiple that are dividable by 230 and 22.

Multiples of 230 = 230, 460, 690, 920, 1150, 1380, 1610, 1840, 2070, 2300, 2530
Multiples of 22 = 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704, 726, 748, 770, 792, 814, 836, 858, 880, 902, 924, 946, 968, 990, 1012, 1034, 1056, 1078, 1100, 1122, 1144, 1166, 1188, 1210, 1232, 1254, 1276, 1298, 1320, 1342, 1364, 1386, 1408, 1430, 1452, 1474, 1496, 1518, 1540, 1562, 1584, 1606, 1628, 1650, 1672, 1694, 1716, 1738, 1760, 1782, 1804, 1826, 1848, 1870, 1892, 1914, 1936, 1958, 1980, 2002, 2024, 2046, 2068, 2090, 2112, 2134, 2156, 2178, 2200, 2222, 2244, 2266, 2288, 2310, 2332, 2354, 2376, 2398, 2420, 2442, 2464, 2486, 2508, 2530

The least common multiple of 230 and 22 is 2530, because 2530 is the smallest number that is divisible by both 230 and 22.

Another method to find the least common multiple of 230 and 22 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 230 and 22, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 230 = 2 x 5 x 23
Prime factorization of 22 = 2 x 11
Prime factors to the highest power = 11 x 2 x 23 x 5 = 2530