What is the Least Common Multiple of 63360 and 63372?

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 63360 and 63372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63360 and 63372, than apply into the LCM equation.

GCF(63360,63372) = 12
LCM(63360,63372) = ( 63360 × 63372) / 12
LCM(63360,63372) = 4015249920 / 12
LCM(63360,63372) = 334604160

Least Common Multiple (LCM) of 63360 and 63372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63360 and 63372. First we will calculate the prime factors of 63360 and 63372.

Prime Factorization of 63360

Prime Factorization of 63372

Now multiplying the highest exponent prime factors to calculate the LCM of 63360 and 63372.

LCM(63360,63372) = 2⁷ × 3² × 5¹ × 11¹ × 5281¹
LCM(63360,63372) = 334604160