What is the Least Common Multiple of 56075 and 56088?

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 56075 and 56088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56075 and 56088, than apply into the LCM equation.

GCF(56075,56088) = 1
LCM(56075,56088) = ( 56075 × 56088) / 1
LCM(56075,56088) = 3145134600 / 1
LCM(56075,56088) = 3145134600

Least Common Multiple (LCM) of 56075 and 56088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56075 and 56088. First we will calculate the prime factors of 56075 and 56088.

Prime Factorization of 56075

Prime Factorization of 56088

Now multiplying the highest exponent prime factors to calculate the LCM of 56075 and 56088.

LCM(56075,56088) = 5² × 2243¹ × 2³ × 3² × 19¹ × 41¹
LCM(56075,56088) = 3145134600