What is the Least Common Multiple of 64674 and 64682?

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 64674 and 64682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64674 and 64682, than apply into the LCM equation.

GCF(64674,64682) = 2
LCM(64674,64682) = ( 64674 × 64682) / 2
LCM(64674,64682) = 4183243668 / 2
LCM(64674,64682) = 2091621834

Least Common Multiple (LCM) of 64674 and 64682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64674 and 64682. First we will calculate the prime factors of 64674 and 64682.

Prime Factorization of 64674

Prime Factorization of 64682

Now multiplying the highest exponent prime factors to calculate the LCM of 64674 and 64682.

LCM(64674,64682) = 2¹ × 3² × 3593¹ × 32341¹
LCM(64674,64682) = 2091621834