What is the Least Common Multiple of 64674 and 64683?

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 64683 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 64683, than apply into the LCM equation.

GCF(64674,64683) = 9
LCM(64674,64683) = ( 64674 × 64683) / 9
LCM(64674,64683) = 4183308342 / 9
LCM(64674,64683) = 464812038

Least Common Multiple (LCM) of 64674 and 64683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64674 and 64683. First we will calculate the prime factors of 64674 and 64683.

Prime Factorization of 64674

Prime Factorization of 64683

Now multiplying the highest exponent prime factors to calculate the LCM of 64674 and 64683.

LCM(64674,64683) = 2¹ × 3² × 3593¹ × 7187¹
LCM(64674,64683) = 464812038