What is the Least Common Multiple of 3640 and 3660?

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 3640 and 3660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3640 and 3660, than apply into the LCM equation.

GCF(3640,3660) = 20
LCM(3640,3660) = ( 3640 × 3660) / 20
LCM(3640,3660) = 13322400 / 20
LCM(3640,3660) = 666120

Least Common Multiple (LCM) of 3640 and 3660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3640 and 3660. First we will calculate the prime factors of 3640 and 3660.

Prime Factorization of 3640

Prime Factorization of 3660

Now multiplying the highest exponent prime factors to calculate the LCM of 3640 and 3660.

LCM(3640,3660) = 2³ × 5¹ × 7¹ × 13¹ × 3¹ × 61¹
LCM(3640,3660) = 666120