What is the Least Common Multiple of 3699 and 3714?

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 3699 and 3714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3699 and 3714, than apply into the LCM equation.

GCF(3699,3714) = 3
LCM(3699,3714) = ( 3699 × 3714) / 3
LCM(3699,3714) = 13738086 / 3
LCM(3699,3714) = 4579362

Least Common Multiple (LCM) of 3699 and 3714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3699 and 3714. First we will calculate the prime factors of 3699 and 3714.

Prime Factorization of 3699

Prime Factorization of 3714

Now multiplying the highest exponent prime factors to calculate the LCM of 3699 and 3714.

LCM(3699,3714) = 3³ × 137¹ × 2¹ × 619¹
LCM(3699,3714) = 4579362