What is the Least Common Multiple of 63072 and 63080?

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 63080 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 63080, than apply into the LCM equation.

GCF(63072,63080) = 8
LCM(63072,63080) = ( 63072 × 63080) / 8
LCM(63072,63080) = 3978581760 / 8
LCM(63072,63080) = 497322720

Least Common Multiple (LCM) of 63072 and 63080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63072 and 63080. First we will calculate the prime factors of 63072 and 63080.

Prime Factorization of 63072

Prime Factorization of 63080

Now multiplying the highest exponent prime factors to calculate the LCM of 63072 and 63080.

LCM(63072,63080) = 2⁵ × 3³ × 73¹ × 5¹ × 19¹ × 83¹
LCM(63072,63080) = 497322720