What is the Least Common Multiple of 64675 and 64691?

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 64675 and 64691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64675 and 64691, than apply into the LCM equation.

GCF(64675,64691) = 1
LCM(64675,64691) = ( 64675 × 64691) / 1
LCM(64675,64691) = 4183890425 / 1
LCM(64675,64691) = 4183890425

Least Common Multiple (LCM) of 64675 and 64691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64675 and 64691. First we will calculate the prime factors of 64675 and 64691.

Prime Factorization of 64675

Prime Factorization of 64691

Now multiplying the highest exponent prime factors to calculate the LCM of 64675 and 64691.

LCM(64675,64691) = 5² × 13¹ × 199¹ × 11¹ × 5881¹
LCM(64675,64691) = 4183890425