What is the Least Common Multiple of 86072 and 86084?

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 86084 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 86084, than apply into the LCM equation.

GCF(86072,86084) = 4
LCM(86072,86084) = ( 86072 × 86084) / 4
LCM(86072,86084) = 7409422048 / 4
LCM(86072,86084) = 1852355512

Least Common Multiple (LCM) of 86072 and 86084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86072 and 86084. First we will calculate the prime factors of 86072 and 86084.

Prime Factorization of 86072

Prime Factorization of 86084

Now multiplying the highest exponent prime factors to calculate the LCM of 86072 and 86084.

LCM(86072,86084) = 2³ × 7¹ × 29¹ × 53¹ × 21521¹
LCM(86072,86084) = 1852355512