What is the Least Common Multiple of 3660 and 3677?

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 3660 and 3677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3660 and 3677, than apply into the LCM equation.

GCF(3660,3677) = 1
LCM(3660,3677) = ( 3660 × 3677) / 1
LCM(3660,3677) = 13457820 / 1
LCM(3660,3677) = 13457820

Least Common Multiple (LCM) of 3660 and 3677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3660 and 3677. First we will calculate the prime factors of 3660 and 3677.

Prime Factorization of 3660

Prime Factorization of 3677

Now multiplying the highest exponent prime factors to calculate the LCM of 3660 and 3677.

LCM(3660,3677) = 2² × 3¹ × 5¹ × 61¹ × 3677¹
LCM(3660,3677) = 13457820