What is the Least Common Multiple of 3675 and 3681?

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 3675 and 3681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3675 and 3681, than apply into the LCM equation.

GCF(3675,3681) = 3
LCM(3675,3681) = ( 3675 × 3681) / 3
LCM(3675,3681) = 13527675 / 3
LCM(3675,3681) = 4509225

Least Common Multiple (LCM) of 3675 and 3681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3675 and 3681. First we will calculate the prime factors of 3675 and 3681.

Prime Factorization of 3675

Prime Factorization of 3681

Now multiplying the highest exponent prime factors to calculate the LCM of 3675 and 3681.

LCM(3675,3681) = 3² × 5² × 7² × 409¹
LCM(3675,3681) = 4509225