What is the Least Common Multiple of 64972 and 64991?

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 64972 and 64991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64972 and 64991, than apply into the LCM equation.

GCF(64972,64991) = 1
LCM(64972,64991) = ( 64972 × 64991) / 1
LCM(64972,64991) = 4222595252 / 1
LCM(64972,64991) = 4222595252

Least Common Multiple (LCM) of 64972 and 64991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64972 and 64991. First we will calculate the prime factors of 64972 and 64991.

Prime Factorization of 64972

Prime Factorization of 64991

Now multiplying the highest exponent prime factors to calculate the LCM of 64972 and 64991.

LCM(64972,64991) = 2² × 37¹ × 439¹ × 17¹ × 3823¹
LCM(64972,64991) = 4222595252