What is the Least Common Multiple of 86110 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 86110 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 86110 and 86128, than apply into the LCM equation.

GCF(86110,86128) = 2
LCM(86110,86128) = ( 86110 × 86128) / 2
LCM(86110,86128) = 7416482080 / 2
LCM(86110,86128) = 3708241040

Least Common Multiple (LCM) of 86110 and 86128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86110 and 86128. First we will calculate the prime factors of 86110 and 86128.

Prime Factorization of 86110

Prime Factorization of 86128

Now multiplying the highest exponent prime factors to calculate the LCM of 86110 and 86128.

LCM(86110,86128) = 2⁴ × 5¹ × 79¹ × 109¹ × 7¹ × 769¹
LCM(86110,86128) = 3708241040