What is the Least Common Multiple of 3252 and 3261?

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 3252 and 3261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3252 and 3261, than apply into the LCM equation.

GCF(3252,3261) = 3
LCM(3252,3261) = ( 3252 × 3261) / 3
LCM(3252,3261) = 10604772 / 3
LCM(3252,3261) = 3534924

Least Common Multiple (LCM) of 3252 and 3261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3252 and 3261. First we will calculate the prime factors of 3252 and 3261.

Prime Factorization of 3252

Prime Factorization of 3261

Now multiplying the highest exponent prime factors to calculate the LCM of 3252 and 3261.

LCM(3252,3261) = 2² × 3¹ × 271¹ × 1087¹
LCM(3252,3261) = 3534924