What is the Least Common Multiple of 63612 and 63621?

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 63621 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 63621, than apply into the LCM equation.

GCF(63612,63621) = 9
LCM(63612,63621) = ( 63612 × 63621) / 9
LCM(63612,63621) = 4047059052 / 9
LCM(63612,63621) = 449673228

Least Common Multiple (LCM) of 63612 and 63621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63612 and 63621. First we will calculate the prime factors of 63612 and 63621.

Prime Factorization of 63612

Prime Factorization of 63621

Now multiplying the highest exponent prime factors to calculate the LCM of 63612 and 63621.

LCM(63612,63621) = 2² × 3³ × 19¹ × 31¹ × 7069¹
LCM(63612,63621) = 449673228