What is the Least Common Multiple of 63072 and 63090?

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 63090 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 63090, than apply into the LCM equation.

GCF(63072,63090) = 18
LCM(63072,63090) = ( 63072 × 63090) / 18
LCM(63072,63090) = 3979212480 / 18
LCM(63072,63090) = 221067360

Least Common Multiple (LCM) of 63072 and 63090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63072 and 63090. First we will calculate the prime factors of 63072 and 63090.

Prime Factorization of 63072

Prime Factorization of 63090

Now multiplying the highest exponent prime factors to calculate the LCM of 63072 and 63090.

LCM(63072,63090) = 2⁵ × 3³ × 73¹ × 5¹ × 701¹
LCM(63072,63090) = 221067360