What is the Least Common Multiple of 63996 and 64015?

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 64015 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 64015, than apply into the LCM equation.

GCF(63996,64015) = 1
LCM(63996,64015) = ( 63996 × 64015) / 1
LCM(63996,64015) = 4096703940 / 1
LCM(63996,64015) = 4096703940

Least Common Multiple (LCM) of 63996 and 64015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63996 and 64015. First we will calculate the prime factors of 63996 and 64015.

Prime Factorization of 63996

Prime Factorization of 64015

Now multiplying the highest exponent prime factors to calculate the LCM of 63996 and 64015.

LCM(63996,64015) = 2² × 3¹ × 5333¹ × 5¹ × 7¹ × 31¹ × 59¹
LCM(63996,64015) = 4096703940