LCM of 678 and 36

What is the LCM of 678 and 36? - The LCM of 678 and 36 is 4068. Follow the step by step instructions on how to find the least common multiple of 678 and 36.

What is the least common multiple of 678 and 36?

How to find the lcm of 678 and 36?

To find the lcm of 678 and 36, we first need to find the multiples of 678 and 36 and then choose the least common multiple that are dividable by 678 and 36.

Multiples of 678 = 678, 1356, 2034, 2712, 3390, 4068
Multiples of 36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728, 1764, 1800, 1836, 1872, 1908, 1944, 1980, 2016, 2052, 2088, 2124, 2160, 2196, 2232, 2268, 2304, 2340, 2376, 2412, 2448, 2484, 2520, 2556, 2592, 2628, 2664, 2700, 2736, 2772, 2808, 2844, 2880, 2916, 2952, 2988, 3024, 3060, 3096, 3132, 3168, 3204, 3240, 3276, 3312, 3348, 3384, 3420, 3456, 3492, 3528, 3564, 3600, 3636, 3672, 3708, 3744, 3780, 3816, 3852, 3888, 3924, 3960, 3996, 4032, 4068

The least common multiple of 678 and 36 is 4068, because 4068 is the smallest number that is divisible by both 678 and 36.

Another method to find the least common multiple of 678 and 36 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 678 and 36, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 678 = 2 x 3 x 113
Prime factorization of 36 = 2 x 2 x 3 x 3 = 2² x 3²
Prime factors to the highest power = 113 x 2² x 3² = 4068