What is the Least Common Multiple of 86072 and 86088?

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 86072 and 86088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86072 and 86088, than apply into the LCM equation.

GCF(86072,86088) = 8
LCM(86072,86088) = ( 86072 × 86088) / 8
LCM(86072,86088) = 7409766336 / 8
LCM(86072,86088) = 926220792

Least Common Multiple (LCM) of 86072 and 86088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86072 and 86088. First we will calculate the prime factors of 86072 and 86088.

Prime Factorization of 86072

Prime Factorization of 86088

Now multiplying the highest exponent prime factors to calculate the LCM of 86072 and 86088.

LCM(86072,86088) = 2³ × 7¹ × 29¹ × 53¹ × 3¹ × 17¹ × 211¹
LCM(86072,86088) = 926220792