What is the Least Common Multiple of 55914 and 55932?

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 55914 and 55932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55914 and 55932, than apply into the LCM equation.

GCF(55914,55932) = 6
LCM(55914,55932) = ( 55914 × 55932) / 6
LCM(55914,55932) = 3127381848 / 6
LCM(55914,55932) = 521230308

Least Common Multiple (LCM) of 55914 and 55932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55914 and 55932. First we will calculate the prime factors of 55914 and 55932.

Prime Factorization of 55914

Prime Factorization of 55932

Now multiplying the highest exponent prime factors to calculate the LCM of 55914 and 55932.

LCM(55914,55932) = 2² × 3¹ × 9319¹ × 59¹ × 79¹
LCM(55914,55932) = 521230308