What is the Least Common Multiple of 55072 and 55088?

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 55072 and 55088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55072 and 55088, than apply into the LCM equation.

GCF(55072,55088) = 16
LCM(55072,55088) = ( 55072 × 55088) / 16
LCM(55072,55088) = 3033806336 / 16
LCM(55072,55088) = 189612896

Least Common Multiple (LCM) of 55072 and 55088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55072 and 55088. First we will calculate the prime factors of 55072 and 55088.

Prime Factorization of 55072

Prime Factorization of 55088

Now multiplying the highest exponent prime factors to calculate the LCM of 55072 and 55088.

LCM(55072,55088) = 2⁵ × 1721¹ × 11¹ × 313¹
LCM(55072,55088) = 189612896