What is the Least Common Multiple of 63999 and 64012?

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 63999 and 64012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63999 and 64012, than apply into the LCM equation.

GCF(63999,64012) = 13
LCM(63999,64012) = ( 63999 × 64012) / 13
LCM(63999,64012) = 4096703988 / 13
LCM(63999,64012) = 315131076

Least Common Multiple (LCM) of 63999 and 64012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63999 and 64012. First we will calculate the prime factors of 63999 and 64012.

Prime Factorization of 63999

Prime Factorization of 64012

Now multiplying the highest exponent prime factors to calculate the LCM of 63999 and 64012.

LCM(63999,64012) = 3² × 13¹ × 547¹ × 2² × 1231¹
LCM(63999,64012) = 315131076