What is the Least Common Multiple of 3720 and 3725?

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 3720 and 3725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3720 and 3725, than apply into the LCM equation.

GCF(3720,3725) = 5
LCM(3720,3725) = ( 3720 × 3725) / 5
LCM(3720,3725) = 13857000 / 5
LCM(3720,3725) = 2771400

Least Common Multiple (LCM) of 3720 and 3725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3720 and 3725. First we will calculate the prime factors of 3720 and 3725.

Prime Factorization of 3720

Prime Factorization of 3725

Now multiplying the highest exponent prime factors to calculate the LCM of 3720 and 3725.

LCM(3720,3725) = 2³ × 3¹ × 5² × 31¹ × 149¹
LCM(3720,3725) = 2771400