What is the Least Common Multiple of 3670 and 3676?

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 3670 and 3676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3670 and 3676, than apply into the LCM equation.

GCF(3670,3676) = 2
LCM(3670,3676) = ( 3670 × 3676) / 2
LCM(3670,3676) = 13490920 / 2
LCM(3670,3676) = 6745460

Least Common Multiple (LCM) of 3670 and 3676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3670 and 3676. First we will calculate the prime factors of 3670 and 3676.

Prime Factorization of 3670

Prime Factorization of 3676

Now multiplying the highest exponent prime factors to calculate the LCM of 3670 and 3676.

LCM(3670,3676) = 2² × 5¹ × 367¹ × 919¹
LCM(3670,3676) = 6745460