What is the Least Common Multiple of 63996 and 64014?

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 64014 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 64014, than apply into the LCM equation.

GCF(63996,64014) = 6
LCM(63996,64014) = ( 63996 × 64014) / 6
LCM(63996,64014) = 4096639944 / 6
LCM(63996,64014) = 682773324

Least Common Multiple (LCM) of 63996 and 64014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63996 and 64014. First we will calculate the prime factors of 63996 and 64014.

Prime Factorization of 63996

Prime Factorization of 64014

Now multiplying the highest exponent prime factors to calculate the LCM of 63996 and 64014.

LCM(63996,64014) = 2² × 3¹ × 5333¹ × 47¹ × 227¹
LCM(63996,64014) = 682773324