What is the Least Common Multiple of 3654 and 3672?

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 3654 and 3672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3654 and 3672, than apply into the LCM equation.

GCF(3654,3672) = 18
LCM(3654,3672) = ( 3654 × 3672) / 18
LCM(3654,3672) = 13417488 / 18
LCM(3654,3672) = 745416

Least Common Multiple (LCM) of 3654 and 3672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3654 and 3672. First we will calculate the prime factors of 3654 and 3672.

Prime Factorization of 3654

Prime Factorization of 3672

Now multiplying the highest exponent prime factors to calculate the LCM of 3654 and 3672.

LCM(3654,3672) = 2³ × 3³ × 7¹ × 29¹ × 17¹
LCM(3654,3672) = 745416