What is the Least Common Multiple of 3615 and 3621?

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 3615 and 3621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3615 and 3621, than apply into the LCM equation.

GCF(3615,3621) = 3
LCM(3615,3621) = ( 3615 × 3621) / 3
LCM(3615,3621) = 13089915 / 3
LCM(3615,3621) = 4363305

Least Common Multiple (LCM) of 3615 and 3621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3615 and 3621. First we will calculate the prime factors of 3615 and 3621.

Prime Factorization of 3615

Prime Factorization of 3621

Now multiplying the highest exponent prime factors to calculate the LCM of 3615 and 3621.

LCM(3615,3621) = 3¹ × 5¹ × 241¹ × 17¹ × 71¹
LCM(3615,3621) = 4363305