What is the Least Common Multiple of 86696 and 86711?

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 86696 and 86711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86696 and 86711, than apply into the LCM equation.

GCF(86696,86711) = 1
LCM(86696,86711) = ( 86696 × 86711) / 1
LCM(86696,86711) = 7517496856 / 1
LCM(86696,86711) = 7517496856

Least Common Multiple (LCM) of 86696 and 86711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86696 and 86711. First we will calculate the prime factors of 86696 and 86711.

Prime Factorization of 86696

Prime Factorization of 86711

Now multiplying the highest exponent prime factors to calculate the LCM of 86696 and 86711.

LCM(86696,86711) = 2³ × 10837¹ × 86711¹
LCM(86696,86711) = 7517496856