What is the Least Common Multiple of 63072 and 63084?

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 63072 and 63084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63072 and 63084, than apply into the LCM equation.

GCF(63072,63084) = 12
LCM(63072,63084) = ( 63072 × 63084) / 12
LCM(63072,63084) = 3978834048 / 12
LCM(63072,63084) = 331569504

Least Common Multiple (LCM) of 63072 and 63084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63072 and 63084. First we will calculate the prime factors of 63072 and 63084.

Prime Factorization of 63072

Prime Factorization of 63084

Now multiplying the highest exponent prime factors to calculate the LCM of 63072 and 63084.

LCM(63072,63084) = 2⁵ × 3³ × 73¹ × 7¹ × 751¹
LCM(63072,63084) = 331569504