What is the Least Common Multiple of 96100 and 96114?

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 96100 and 96114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96100 and 96114, than apply into the LCM equation.

GCF(96100,96114) = 2
LCM(96100,96114) = ( 96100 × 96114) / 2
LCM(96100,96114) = 9236555400 / 2
LCM(96100,96114) = 4618277700

Least Common Multiple (LCM) of 96100 and 96114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96100 and 96114. First we will calculate the prime factors of 96100 and 96114.

Prime Factorization of 96100

Prime Factorization of 96114

Now multiplying the highest exponent prime factors to calculate the LCM of 96100 and 96114.

LCM(96100,96114) = 2² × 5² × 31² × 3¹ × 83¹ × 193¹
LCM(96100,96114) = 4618277700