What is the Least Common Multiple of 63912 and 63927?

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 63912 and 63927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63912 and 63927, than apply into the LCM equation.

GCF(63912,63927) = 3
LCM(63912,63927) = ( 63912 × 63927) / 3
LCM(63912,63927) = 4085702424 / 3
LCM(63912,63927) = 1361900808

Least Common Multiple (LCM) of 63912 and 63927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63912 and 63927. First we will calculate the prime factors of 63912 and 63927.

Prime Factorization of 63912

Prime Factorization of 63927

Now multiplying the highest exponent prime factors to calculate the LCM of 63912 and 63927.

LCM(63912,63927) = 2³ × 3² × 2663¹ × 7103¹
LCM(63912,63927) = 1361900808