What is the Least Common Multiple of 64641 and 64648?

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 64641 and 64648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64641 and 64648, than apply into the LCM equation.

GCF(64641,64648) = 1
LCM(64641,64648) = ( 64641 × 64648) / 1
LCM(64641,64648) = 4178911368 / 1
LCM(64641,64648) = 4178911368

Least Common Multiple (LCM) of 64641 and 64648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64641 and 64648. First we will calculate the prime factors of 64641 and 64648.

Prime Factorization of 64641

Prime Factorization of 64648

Now multiplying the highest exponent prime factors to calculate the LCM of 64641 and 64648.

LCM(64641,64648) = 3¹ × 29¹ × 743¹ × 2³ × 8081¹
LCM(64641,64648) = 4178911368