What is the Least Common Multiple of 3234 and 3252?

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 3234 and 3252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3234 and 3252, than apply into the LCM equation.

GCF(3234,3252) = 6
LCM(3234,3252) = ( 3234 × 3252) / 6
LCM(3234,3252) = 10516968 / 6
LCM(3234,3252) = 1752828

Least Common Multiple (LCM) of 3234 and 3252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3234 and 3252. First we will calculate the prime factors of 3234 and 3252.

Prime Factorization of 3234

Prime Factorization of 3252

Now multiplying the highest exponent prime factors to calculate the LCM of 3234 and 3252.

LCM(3234,3252) = 2² × 3¹ × 7² × 11¹ × 271¹
LCM(3234,3252) = 1752828