What is the Least Common Multiple of 63114 and 63132?

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 63114 and 63132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63114 and 63132, than apply into the LCM equation.

GCF(63114,63132) = 6
LCM(63114,63132) = ( 63114 × 63132) / 6
LCM(63114,63132) = 3984513048 / 6
LCM(63114,63132) = 664085508

Least Common Multiple (LCM) of 63114 and 63132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63114 and 63132. First we will calculate the prime factors of 63114 and 63132.

Prime Factorization of 63114

Prime Factorization of 63132

Now multiplying the highest exponent prime factors to calculate the LCM of 63114 and 63132.

LCM(63114,63132) = 2² × 3¹ × 67¹ × 157¹ × 5261¹
LCM(63114,63132) = 664085508