What is the Least Common Multiple of 63678 and 63684?

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 63678 and 63684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63678 and 63684, than apply into the LCM equation.

GCF(63678,63684) = 6
LCM(63678,63684) = ( 63678 × 63684) / 6
LCM(63678,63684) = 4055269752 / 6
LCM(63678,63684) = 675878292

Least Common Multiple (LCM) of 63678 and 63684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63678 and 63684. First we will calculate the prime factors of 63678 and 63684.

Prime Factorization of 63678

Prime Factorization of 63684

Now multiplying the highest exponent prime factors to calculate the LCM of 63678 and 63684.

LCM(63678,63684) = 2² × 3² × 10613¹ × 29¹ × 61¹
LCM(63678,63684) = 675878292