LCM of 363 and 63

What is the LCM of 363 and 63? - The LCM of 363 and 63 is 7623. Follow the step by step instructions on how to find the least common multiple of 363 and 63.

What is the least common multiple of 363 and 63?

How to find the lcm of 363 and 63?

To find the lcm of 363 and 63, we first need to find the multiples of 363 and 63 and then choose the least common multiple that are dividable by 363 and 63.

Multiples of 363 = 363, 726, 1089, 1452, 1815, 2178, 2541, 2904, 3267, 3630, 3993, 4356, 4719, 5082, 5445, 5808, 6171, 6534, 6897, 7260, 7623
Multiples of 63 = 63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756, 819, 882, 945, 1008, 1071, 1134, 1197, 1260, 1323, 1386, 1449, 1512, 1575, 1638, 1701, 1764, 1827, 1890, 1953, 2016, 2079, 2142, 2205, 2268, 2331, 2394, 2457, 2520, 2583, 2646, 2709, 2772, 2835, 2898, 2961, 3024, 3087, 3150, 3213, 3276, 3339, 3402, 3465, 3528, 3591, 3654, 3717, 3780, 3843, 3906, 3969, 4032, 4095, 4158, 4221, 4284, 4347, 4410, 4473, 4536, 4599, 4662, 4725, 4788, 4851, 4914, 4977, 5040, 5103, 5166, 5229, 5292, 5355, 5418, 5481, 5544, 5607, 5670, 5733, 5796, 5859, 5922, 5985, 6048, 6111, 6174, 6237, 6300, 6363, 6426, 6489, 6552, 6615, 6678, 6741, 6804, 6867, 6930, 6993, 7056, 7119, 7182, 7245, 7308, 7371, 7434, 7497, 7560, 7623

The least common multiple of 363 and 63 is 7623, because 7623 is the smallest number that is divisible by both 363 and 63.

Another method to find the least common multiple of 363 and 63 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 363 and 63, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 363 = 3 x 11 x 11 = 3 x 11²
Prime factorization of 63 = 3 x 3 x 7 = 3² x 7
Prime factors to the highest power = 11² x 3² x 7 = 7623