What is the Least Common Multiple of 3745 and 3756?

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 3745 and 3756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3745 and 3756, than apply into the LCM equation.

GCF(3745,3756) = 1
LCM(3745,3756) = ( 3745 × 3756) / 1
LCM(3745,3756) = 14066220 / 1
LCM(3745,3756) = 14066220

Least Common Multiple (LCM) of 3745 and 3756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3745 and 3756. First we will calculate the prime factors of 3745 and 3756.

Prime Factorization of 3745

Prime Factorization of 3756

Now multiplying the highest exponent prime factors to calculate the LCM of 3745 and 3756.

LCM(3745,3756) = 5¹ × 7¹ × 107¹ × 2² × 3¹ × 313¹
LCM(3745,3756) = 14066220