What is the Least Common Multiple of 3740 and 3750?

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 3740 and 3750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3740 and 3750, than apply into the LCM equation.

GCF(3740,3750) = 10
LCM(3740,3750) = ( 3740 × 3750) / 10
LCM(3740,3750) = 14025000 / 10
LCM(3740,3750) = 1402500

Least Common Multiple (LCM) of 3740 and 3750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3740 and 3750. First we will calculate the prime factors of 3740 and 3750.

Prime Factorization of 3740

Prime Factorization of 3750

Now multiplying the highest exponent prime factors to calculate the LCM of 3740 and 3750.

LCM(3740,3750) = 2² × 5⁴ × 11¹ × 17¹ × 3¹
LCM(3740,3750) = 1402500