What is the Least Common Multiple of 64978 and 64996?

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 64978 and 64996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64978 and 64996, than apply into the LCM equation.

GCF(64978,64996) = 2
LCM(64978,64996) = ( 64978 × 64996) / 2
LCM(64978,64996) = 4223310088 / 2
LCM(64978,64996) = 2111655044

Least Common Multiple (LCM) of 64978 and 64996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64978 and 64996. First we will calculate the prime factors of 64978 and 64996.

Prime Factorization of 64978

Prime Factorization of 64996

Now multiplying the highest exponent prime factors to calculate the LCM of 64978 and 64996.

LCM(64978,64996) = 2² × 53¹ × 613¹ × 16249¹
LCM(64978,64996) = 2111655044