What is the Least Common Multiple of 63126 and 63144?

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 63126 and 63144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63126 and 63144, than apply into the LCM equation.

GCF(63126,63144) = 18
LCM(63126,63144) = ( 63126 × 63144) / 18
LCM(63126,63144) = 3986028144 / 18
LCM(63126,63144) = 221446008

Least Common Multiple (LCM) of 63126 and 63144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63126 and 63144. First we will calculate the prime factors of 63126 and 63144.

Prime Factorization of 63126

Prime Factorization of 63144

Now multiplying the highest exponent prime factors to calculate the LCM of 63126 and 63144.

LCM(63126,63144) = 2³ × 3³ × 7¹ × 167¹ × 877¹
LCM(63126,63144) = 221446008