What is the Least Common Multiple of 3755 and 3775?

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 3755 and 3775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3755 and 3775, than apply into the LCM equation.

GCF(3755,3775) = 5
LCM(3755,3775) = ( 3755 × 3775) / 5
LCM(3755,3775) = 14175125 / 5
LCM(3755,3775) = 2835025

Least Common Multiple (LCM) of 3755 and 3775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3755 and 3775. First we will calculate the prime factors of 3755 and 3775.

Prime Factorization of 3755

Prime Factorization of 3775

Now multiplying the highest exponent prime factors to calculate the LCM of 3755 and 3775.

LCM(3755,3775) = 5² × 751¹ × 151¹
LCM(3755,3775) = 2835025