What is the Least Common Multiple of 55929 and 55944?

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 55929 and 55944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55929 and 55944, than apply into the LCM equation.

GCF(55929,55944) = 3
LCM(55929,55944) = ( 55929 × 55944) / 3
LCM(55929,55944) = 3128891976 / 3
LCM(55929,55944) = 1042963992

Least Common Multiple (LCM) of 55929 and 55944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55929 and 55944. First we will calculate the prime factors of 55929 and 55944.

Prime Factorization of 55929

Prime Factorization of 55944

Now multiplying the highest exponent prime factors to calculate the LCM of 55929 and 55944.

LCM(55929,55944) = 3³ × 103¹ × 181¹ × 2³ × 7¹ × 37¹
LCM(55929,55944) = 1042963992