What is the Least Common Multiple of 63612 and 63631?

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 63612 and 63631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63612 and 63631, than apply into the LCM equation.

GCF(63612,63631) = 19
LCM(63612,63631) = ( 63612 × 63631) / 19
LCM(63612,63631) = 4047695172 / 19
LCM(63612,63631) = 213036588

Least Common Multiple (LCM) of 63612 and 63631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63612 and 63631. First we will calculate the prime factors of 63612 and 63631.

Prime Factorization of 63612

Prime Factorization of 63631

Now multiplying the highest exponent prime factors to calculate the LCM of 63612 and 63631.

LCM(63612,63631) = 2² × 3³ × 19¹ × 31¹ × 17¹ × 197¹
LCM(63612,63631) = 213036588