What is the Least Common Multiple of 86115 and 86128?

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 86115 and 86128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86115 and 86128, than apply into the LCM equation.

GCF(86115,86128) = 1
LCM(86115,86128) = ( 86115 × 86128) / 1
LCM(86115,86128) = 7416912720 / 1
LCM(86115,86128) = 7416912720

Least Common Multiple (LCM) of 86115 and 86128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86115 and 86128. First we will calculate the prime factors of 86115 and 86128.

Prime Factorization of 86115

Prime Factorization of 86128

Now multiplying the highest exponent prime factors to calculate the LCM of 86115 and 86128.

LCM(86115,86128) = 3¹ × 5¹ × 5741¹ × 2⁴ × 7¹ × 769¹
LCM(86115,86128) = 7416912720