What is the Least Common Multiple of 3744 and 3758?

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 3758 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 3758, than apply into the LCM equation.

GCF(3744,3758) = 2
LCM(3744,3758) = ( 3744 × 3758) / 2
LCM(3744,3758) = 14069952 / 2
LCM(3744,3758) = 7034976

Least Common Multiple (LCM) of 3744 and 3758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3744 and 3758. First we will calculate the prime factors of 3744 and 3758.

Prime Factorization of 3744

Prime Factorization of 3758

Now multiplying the highest exponent prime factors to calculate the LCM of 3744 and 3758.

LCM(3744,3758) = 2⁵ × 3² × 13¹ × 1879¹
LCM(3744,3758) = 7034976