What is the Least Common Multiple of 86100 and 86114?

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 86100 and 86114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86100 and 86114, than apply into the LCM equation.

GCF(86100,86114) = 14
LCM(86100,86114) = ( 86100 × 86114) / 14
LCM(86100,86114) = 7414415400 / 14
LCM(86100,86114) = 529601100

Least Common Multiple (LCM) of 86100 and 86114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86100 and 86114. First we will calculate the prime factors of 86100 and 86114.

Prime Factorization of 86100

Prime Factorization of 86114

Now multiplying the highest exponent prime factors to calculate the LCM of 86100 and 86114.

LCM(86100,86114) = 2² × 3¹ × 5² × 7¹ × 41¹ × 6151¹
LCM(86100,86114) = 529601100