What is the Least Common Multiple of 3645 and 3657?

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 3645 and 3657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3645 and 3657, than apply into the LCM equation.

GCF(3645,3657) = 3
LCM(3645,3657) = ( 3645 × 3657) / 3
LCM(3645,3657) = 13329765 / 3
LCM(3645,3657) = 4443255

Least Common Multiple (LCM) of 3645 and 3657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3645 and 3657. First we will calculate the prime factors of 3645 and 3657.

Prime Factorization of 3645

Prime Factorization of 3657

Now multiplying the highest exponent prime factors to calculate the LCM of 3645 and 3657.

LCM(3645,3657) = 3⁶ × 5¹ × 23¹ × 53¹
LCM(3645,3657) = 4443255