What is the Least Common Multiple of 3756 and 3772?

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 3756 and 3772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3756 and 3772, than apply into the LCM equation.

GCF(3756,3772) = 4
LCM(3756,3772) = ( 3756 × 3772) / 4
LCM(3756,3772) = 14167632 / 4
LCM(3756,3772) = 3541908

Least Common Multiple (LCM) of 3756 and 3772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3756 and 3772. First we will calculate the prime factors of 3756 and 3772.

Prime Factorization of 3756

Prime Factorization of 3772

Now multiplying the highest exponent prime factors to calculate the LCM of 3756 and 3772.

LCM(3756,3772) = 2² × 3¹ × 313¹ × 23¹ × 41¹
LCM(3756,3772) = 3541908