What is the Least Common Multiple of 63108 and 63114?

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 63108 and 63114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63108 and 63114, than apply into the LCM equation.

GCF(63108,63114) = 6
LCM(63108,63114) = ( 63108 × 63114) / 6
LCM(63108,63114) = 3982998312 / 6
LCM(63108,63114) = 663833052

Least Common Multiple (LCM) of 63108 and 63114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63108 and 63114. First we will calculate the prime factors of 63108 and 63114.

Prime Factorization of 63108

Prime Factorization of 63114

Now multiplying the highest exponent prime factors to calculate the LCM of 63108 and 63114.

LCM(63108,63114) = 2² × 3² × 1753¹ × 67¹ × 157¹
LCM(63108,63114) = 663833052