What is the Least Common Multiple of 86124 and 86137?

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 86137 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 86137, than apply into the LCM equation.

GCF(86124,86137) = 1
LCM(86124,86137) = ( 86124 × 86137) / 1
LCM(86124,86137) = 7418462988 / 1
LCM(86124,86137) = 7418462988

Least Common Multiple (LCM) of 86124 and 86137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86124 and 86137. First we will calculate the prime factors of 86124 and 86137.

Prime Factorization of 86124

Prime Factorization of 86137

Now multiplying the highest exponent prime factors to calculate the LCM of 86124 and 86137.

LCM(86124,86137) = 2² × 3¹ × 7177¹ × 86137¹
LCM(86124,86137) = 7418462988