What is the Least Common Multiple of 63672 and 63678?

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 63672 and 63678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63672 and 63678, than apply into the LCM equation.

GCF(63672,63678) = 6
LCM(63672,63678) = ( 63672 × 63678) / 6
LCM(63672,63678) = 4054505616 / 6
LCM(63672,63678) = 675750936

Least Common Multiple (LCM) of 63672 and 63678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63672 and 63678. First we will calculate the prime factors of 63672 and 63678.

Prime Factorization of 63672

Prime Factorization of 63678

Now multiplying the highest exponent prime factors to calculate the LCM of 63672 and 63678.

LCM(63672,63678) = 2³ × 3¹ × 7¹ × 379¹ × 10613¹
LCM(63672,63678) = 675750936