What is the Least Common Multiple of 63894 and 63912?

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 63894 and 63912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63894 and 63912, than apply into the LCM equation.

GCF(63894,63912) = 6
LCM(63894,63912) = ( 63894 × 63912) / 6
LCM(63894,63912) = 4083593328 / 6
LCM(63894,63912) = 680598888

Least Common Multiple (LCM) of 63894 and 63912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63894 and 63912. First we will calculate the prime factors of 63894 and 63912.

Prime Factorization of 63894

Prime Factorization of 63912

Now multiplying the highest exponent prime factors to calculate the LCM of 63894 and 63912.

LCM(63894,63912) = 2³ × 3¹ × 23¹ × 463¹ × 2663¹
LCM(63894,63912) = 680598888