What is the Least Common Multiple of 55536 and 55552?

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 55536 and 55552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55536 and 55552, than apply into the LCM equation.

GCF(55536,55552) = 16
LCM(55536,55552) = ( 55536 × 55552) / 16
LCM(55536,55552) = 3085135872 / 16
LCM(55536,55552) = 192820992

Least Common Multiple (LCM) of 55536 and 55552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55536 and 55552. First we will calculate the prime factors of 55536 and 55552.

Prime Factorization of 55536

Prime Factorization of 55552

Now multiplying the highest exponent prime factors to calculate the LCM of 55536 and 55552.

LCM(55536,55552) = 2⁸ × 3¹ × 13¹ × 89¹ × 7¹ × 31¹
LCM(55536,55552) = 192820992