What is the Least Common Multiple of 3728 and 3742?

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 3728 and 3742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3728 and 3742, than apply into the LCM equation.

GCF(3728,3742) = 2
LCM(3728,3742) = ( 3728 × 3742) / 2
LCM(3728,3742) = 13950176 / 2
LCM(3728,3742) = 6975088

Least Common Multiple (LCM) of 3728 and 3742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3728 and 3742. First we will calculate the prime factors of 3728 and 3742.

Prime Factorization of 3728

Prime Factorization of 3742

Now multiplying the highest exponent prime factors to calculate the LCM of 3728 and 3742.

LCM(3728,3742) = 2⁴ × 233¹ × 1871¹
LCM(3728,3742) = 6975088