What is the Least Common Multiple of 3656 and 3674?

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 3656 and 3674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3656 and 3674, than apply into the LCM equation.

GCF(3656,3674) = 2
LCM(3656,3674) = ( 3656 × 3674) / 2
LCM(3656,3674) = 13432144 / 2
LCM(3656,3674) = 6716072

Least Common Multiple (LCM) of 3656 and 3674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3656 and 3674. First we will calculate the prime factors of 3656 and 3674.

Prime Factorization of 3656

Prime Factorization of 3674

Now multiplying the highest exponent prime factors to calculate the LCM of 3656 and 3674.

LCM(3656,3674) = 2³ × 457¹ × 11¹ × 167¹
LCM(3656,3674) = 6716072