What is the Least Common Multiple of 63996 and 64004?

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 63996 and 64004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63996 and 64004, than apply into the LCM equation.

GCF(63996,64004) = 4
LCM(63996,64004) = ( 63996 × 64004) / 4
LCM(63996,64004) = 4095999984 / 4
LCM(63996,64004) = 1023999996

Least Common Multiple (LCM) of 63996 and 64004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63996 and 64004. First we will calculate the prime factors of 63996 and 64004.

Prime Factorization of 63996

Prime Factorization of 64004

Now multiplying the highest exponent prime factors to calculate the LCM of 63996 and 64004.

LCM(63996,64004) = 2² × 3¹ × 5333¹ × 16001¹
LCM(63996,64004) = 1023999996