What is the Least Common Multiple of 55564 and 55572?

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 55564 and 55572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55564 and 55572, than apply into the LCM equation.

GCF(55564,55572) = 4
LCM(55564,55572) = ( 55564 × 55572) / 4
LCM(55564,55572) = 3087802608 / 4
LCM(55564,55572) = 771950652

Least Common Multiple (LCM) of 55564 and 55572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55564 and 55572. First we will calculate the prime factors of 55564 and 55572.

Prime Factorization of 55564

Prime Factorization of 55572

Now multiplying the highest exponent prime factors to calculate the LCM of 55564 and 55572.

LCM(55564,55572) = 2² × 29¹ × 479¹ × 3¹ × 11¹ × 421¹
LCM(55564,55572) = 771950652