What is the Least Common Multiple of 86114 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 86114 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 86114 and 86128, than apply into the LCM equation.

GCF(86114,86128) = 14
LCM(86114,86128) = ( 86114 × 86128) / 14
LCM(86114,86128) = 7416826592 / 14
LCM(86114,86128) = 529773328

Least Common Multiple (LCM) of 86114 and 86128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86114 and 86128. First we will calculate the prime factors of 86114 and 86128.

Prime Factorization of 86114

Prime Factorization of 86128

Now multiplying the highest exponent prime factors to calculate the LCM of 86114 and 86128.

LCM(86114,86128) = 2⁴ × 7¹ × 6151¹ × 769¹
LCM(86114,86128) = 529773328