What is the Least Common Multiple of 3714 and 3724?

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 3714 and 3724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3714 and 3724, than apply into the LCM equation.

GCF(3714,3724) = 2
LCM(3714,3724) = ( 3714 × 3724) / 2
LCM(3714,3724) = 13830936 / 2
LCM(3714,3724) = 6915468

Least Common Multiple (LCM) of 3714 and 3724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3714 and 3724. First we will calculate the prime factors of 3714 and 3724.

Prime Factorization of 3714

Prime Factorization of 3724

Now multiplying the highest exponent prime factors to calculate the LCM of 3714 and 3724.

LCM(3714,3724) = 2² × 3¹ × 619¹ × 7² × 19¹
LCM(3714,3724) = 6915468