What is the Least Common Multiple of 55983 and 55998?

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 55998 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 55998, than apply into the LCM equation.

GCF(55983,55998) = 3
LCM(55983,55998) = ( 55983 × 55998) / 3
LCM(55983,55998) = 3134936034 / 3
LCM(55983,55998) = 1044978678

Least Common Multiple (LCM) of 55983 and 55998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55983 and 55998. First we will calculate the prime factors of 55983 and 55998.

Prime Factorization of 55983

Prime Factorization of 55998

Now multiplying the highest exponent prime factors to calculate the LCM of 55983 and 55998.

LCM(55983,55998) = 3³ × 18661¹ × 2¹ × 17¹ × 61¹
LCM(55983,55998) = 1044978678