What is the Least Common Multiple of 3650 and 3667?

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 3650 and 3667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3650 and 3667, than apply into the LCM equation.

GCF(3650,3667) = 1
LCM(3650,3667) = ( 3650 × 3667) / 1
LCM(3650,3667) = 13384550 / 1
LCM(3650,3667) = 13384550

Least Common Multiple (LCM) of 3650 and 3667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3650 and 3667. First we will calculate the prime factors of 3650 and 3667.

Prime Factorization of 3650

Prime Factorization of 3667

Now multiplying the highest exponent prime factors to calculate the LCM of 3650 and 3667.

LCM(3650,3667) = 2¹ × 5² × 73¹ × 19¹ × 193¹
LCM(3650,3667) = 13384550