What is the Least Common Multiple of 63600 and 63612?

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 63600 and 63612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63600 and 63612, than apply into the LCM equation.

GCF(63600,63612) = 12
LCM(63600,63612) = ( 63600 × 63612) / 12
LCM(63600,63612) = 4045723200 / 12
LCM(63600,63612) = 337143600

Least Common Multiple (LCM) of 63600 and 63612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63600 and 63612. First we will calculate the prime factors of 63600 and 63612.

Prime Factorization of 63600

Prime Factorization of 63612

Now multiplying the highest exponent prime factors to calculate the LCM of 63600 and 63612.

LCM(63600,63612) = 2⁴ × 3³ × 5² × 53¹ × 19¹ × 31¹
LCM(63600,63612) = 337143600