What is the Least Common Multiple of 64975 and 64981?

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 64975 and 64981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64975 and 64981, than apply into the LCM equation.

GCF(64975,64981) = 1
LCM(64975,64981) = ( 64975 × 64981) / 1
LCM(64975,64981) = 4222140475 / 1
LCM(64975,64981) = 4222140475

Least Common Multiple (LCM) of 64975 and 64981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64975 and 64981. First we will calculate the prime factors of 64975 and 64981.

Prime Factorization of 64975

Prime Factorization of 64981

Now multiplying the highest exponent prime factors to calculate the LCM of 64975 and 64981.

LCM(64975,64981) = 5² × 23¹ × 113¹ × 7¹ × 9283¹
LCM(64975,64981) = 4222140475