What is the Least Common Multiple of 55983 and 55992?

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 55983 and 55992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55983 and 55992, than apply into the LCM equation.

GCF(55983,55992) = 3
LCM(55983,55992) = ( 55983 × 55992) / 3
LCM(55983,55992) = 3134600136 / 3
LCM(55983,55992) = 1044866712

Least Common Multiple (LCM) of 55983 and 55992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55983 and 55992. First we will calculate the prime factors of 55983 and 55992.

Prime Factorization of 55983

Prime Factorization of 55992

Now multiplying the highest exponent prime factors to calculate the LCM of 55983 and 55992.

LCM(55983,55992) = 3¹ × 18661¹ × 2³ × 2333¹
LCM(55983,55992) = 1044866712