What is the Least Common Multiple of 63108 and 63117?

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 63117 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 63117, than apply into the LCM equation.

GCF(63108,63117) = 9
LCM(63108,63117) = ( 63108 × 63117) / 9
LCM(63108,63117) = 3983187636 / 9
LCM(63108,63117) = 442576404

Least Common Multiple (LCM) of 63108 and 63117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63108 and 63117. First we will calculate the prime factors of 63108 and 63117.

Prime Factorization of 63108

Prime Factorization of 63117

Now multiplying the highest exponent prime factors to calculate the LCM of 63108 and 63117.

LCM(63108,63117) = 2² × 3² × 1753¹ × 7013¹
LCM(63108,63117) = 442576404