What is the Least Common Multiple of 55572 and 55587?

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 55572 and 55587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55572 and 55587, than apply into the LCM equation.

GCF(55572,55587) = 3
LCM(55572,55587) = ( 55572 × 55587) / 3
LCM(55572,55587) = 3089080764 / 3
LCM(55572,55587) = 1029693588

Least Common Multiple (LCM) of 55572 and 55587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55572 and 55587. First we will calculate the prime factors of 55572 and 55587.

Prime Factorization of 55572

Prime Factorization of 55587

Now multiplying the highest exponent prime factors to calculate the LCM of 55572 and 55587.

LCM(55572,55587) = 2² × 3¹ × 11¹ × 421¹ × 7¹ × 2647¹
LCM(55572,55587) = 1029693588