What is the Least Common Multiple of 86139 and 86157?

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 86139 and 86157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86139 and 86157, than apply into the LCM equation.

GCF(86139,86157) = 9
LCM(86139,86157) = ( 86139 × 86157) / 9
LCM(86139,86157) = 7421477823 / 9
LCM(86139,86157) = 824608647

Least Common Multiple (LCM) of 86139 and 86157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86139 and 86157. First we will calculate the prime factors of 86139 and 86157.

Prime Factorization of 86139

Prime Factorization of 86157

Now multiplying the highest exponent prime factors to calculate the LCM of 86139 and 86157.

LCM(86139,86157) = 3³ × 17¹ × 563¹ × 3191¹
LCM(86139,86157) = 824608647