What is the Least Common Multiple of 3750 and 3770?

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 3750 and 3770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3750 and 3770, than apply into the LCM equation.

GCF(3750,3770) = 10
LCM(3750,3770) = ( 3750 × 3770) / 10
LCM(3750,3770) = 14137500 / 10
LCM(3750,3770) = 1413750

Least Common Multiple (LCM) of 3750 and 3770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3750 and 3770. First we will calculate the prime factors of 3750 and 3770.

Prime Factorization of 3750

Prime Factorization of 3770

Now multiplying the highest exponent prime factors to calculate the LCM of 3750 and 3770.

LCM(3750,3770) = 2¹ × 3¹ × 5⁴ × 13¹ × 29¹
LCM(3750,3770) = 1413750