What is the Least Common Multiple of 3744 and 3764?

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 3744 and 3764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3744 and 3764, than apply into the LCM equation.

GCF(3744,3764) = 4
LCM(3744,3764) = ( 3744 × 3764) / 4
LCM(3744,3764) = 14092416 / 4
LCM(3744,3764) = 3523104

Least Common Multiple (LCM) of 3744 and 3764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3744 and 3764. First we will calculate the prime factors of 3744 and 3764.

Prime Factorization of 3744

Prime Factorization of 3764

Now multiplying the highest exponent prime factors to calculate the LCM of 3744 and 3764.

LCM(3744,3764) = 2⁵ × 3² × 13¹ × 941¹
LCM(3744,3764) = 3523104