What is the Least Common Multiple of 55872 and 55888?

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 55872 and 55888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55872 and 55888, than apply into the LCM equation.

GCF(55872,55888) = 16
LCM(55872,55888) = ( 55872 × 55888) / 16
LCM(55872,55888) = 3122574336 / 16
LCM(55872,55888) = 195160896

Least Common Multiple (LCM) of 55872 and 55888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55872 and 55888. First we will calculate the prime factors of 55872 and 55888.

Prime Factorization of 55872

Prime Factorization of 55888

Now multiplying the highest exponent prime factors to calculate the LCM of 55872 and 55888.

LCM(55872,55888) = 2⁶ × 3² × 97¹ × 7¹ × 499¹
LCM(55872,55888) = 195160896