What is the Least Common Multiple of 63057 and 63072?

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 63057 and 63072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63057 and 63072, than apply into the LCM equation.

GCF(63057,63072) = 3
LCM(63057,63072) = ( 63057 × 63072) / 3
LCM(63057,63072) = 3977131104 / 3
LCM(63057,63072) = 1325710368

Least Common Multiple (LCM) of 63057 and 63072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63057 and 63072. First we will calculate the prime factors of 63057 and 63072.

Prime Factorization of 63057

Prime Factorization of 63072

Now multiplying the highest exponent prime factors to calculate the LCM of 63057 and 63072.

LCM(63057,63072) = 3³ × 21019¹ × 2⁵ × 73¹
LCM(63057,63072) = 1325710368