What is the Least Common Multiple of 86124 and 86136?

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 86124 and 86136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86124 and 86136, than apply into the LCM equation.

GCF(86124,86136) = 12
LCM(86124,86136) = ( 86124 × 86136) / 12
LCM(86124,86136) = 7418376864 / 12
LCM(86124,86136) = 618198072

Least Common Multiple (LCM) of 86124 and 86136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86124 and 86136. First we will calculate the prime factors of 86124 and 86136.

Prime Factorization of 86124

Prime Factorization of 86136

Now multiplying the highest exponent prime factors to calculate the LCM of 86124 and 86136.

LCM(86124,86136) = 2³ × 3¹ × 7177¹ × 37¹ × 97¹
LCM(86124,86136) = 618198072