What is the Least Common Multiple of 55965 and 55983?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 55965 and 55983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55965 and 55983, than apply into the LCM equation.

GCF(55965,55983) = 3
LCM(55965,55983) = ( 55965 × 55983) / 3
LCM(55965,55983) = 3133088595 / 3
LCM(55965,55983) = 1044362865

Least Common Multiple (LCM) of 55965 and 55983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55965 and 55983. First we will calculate the prime factors of 55965 and 55983.

Prime Factorization of 55965

Prime Factorization of 55983

Now multiplying the highest exponent prime factors to calculate the LCM of 55965 and 55983.

LCM(55965,55983) = 3¹ × 5¹ × 7¹ × 13¹ × 41¹ × 18661¹
LCM(55965,55983) = 1044362865