What is the Least Common Multiple of 55968 and 55977?

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 55968 and 55977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55968 and 55977, than apply into the LCM equation.

GCF(55968,55977) = 3
LCM(55968,55977) = ( 55968 × 55977) / 3
LCM(55968,55977) = 3132920736 / 3
LCM(55968,55977) = 1044306912

Least Common Multiple (LCM) of 55968 and 55977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55968 and 55977. First we will calculate the prime factors of 55968 and 55977.

Prime Factorization of 55968

Prime Factorization of 55977

Now multiplying the highest exponent prime factors to calculate the LCM of 55968 and 55977.

LCM(55968,55977) = 2⁵ × 3¹ × 11¹ × 53¹ × 47¹ × 397¹
LCM(55968,55977) = 1044306912