What is the Least Common Multiple of 3671 and 3688?

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 3671 and 3688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3671 and 3688, than apply into the LCM equation.

GCF(3671,3688) = 1
LCM(3671,3688) = ( 3671 × 3688) / 1
LCM(3671,3688) = 13538648 / 1
LCM(3671,3688) = 13538648

Least Common Multiple (LCM) of 3671 and 3688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3671 and 3688. First we will calculate the prime factors of 3671 and 3688.

Prime Factorization of 3671

Prime Factorization of 3688

Now multiplying the highest exponent prime factors to calculate the LCM of 3671 and 3688.

LCM(3671,3688) = 3671¹ × 2³ × 461¹
LCM(3671,3688) = 13538648