What is the Least Common Multiple of 86596 and 86610?

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 86596 and 86610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86596 and 86610, than apply into the LCM equation.

GCF(86596,86610) = 2
LCM(86596,86610) = ( 86596 × 86610) / 2
LCM(86596,86610) = 7500079560 / 2
LCM(86596,86610) = 3750039780

Least Common Multiple (LCM) of 86596 and 86610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86596 and 86610. First we will calculate the prime factors of 86596 and 86610.

Prime Factorization of 86596

Prime Factorization of 86610

Now multiplying the highest exponent prime factors to calculate the LCM of 86596 and 86610.

LCM(86596,86610) = 2² × 21649¹ × 3¹ × 5¹ × 2887¹
LCM(86596,86610) = 3750039780