What is the Least Common Multiple of 63144 and 63156?

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 63144 and 63156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63144 and 63156, than apply into the LCM equation.

GCF(63144,63156) = 12
LCM(63144,63156) = ( 63144 × 63156) / 12
LCM(63144,63156) = 3987922464 / 12
LCM(63144,63156) = 332326872

Least Common Multiple (LCM) of 63144 and 63156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63144 and 63156. First we will calculate the prime factors of 63144 and 63156.

Prime Factorization of 63144

Prime Factorization of 63156

Now multiplying the highest exponent prime factors to calculate the LCM of 63144 and 63156.

LCM(63144,63156) = 2³ × 3² × 877¹ × 19¹ × 277¹
LCM(63144,63156) = 332326872