What is the Least Common Multiple of 3765 and 3785?

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 3765 and 3785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3765 and 3785, than apply into the LCM equation.

GCF(3765,3785) = 5
LCM(3765,3785) = ( 3765 × 3785) / 5
LCM(3765,3785) = 14250525 / 5
LCM(3765,3785) = 2850105

Least Common Multiple (LCM) of 3765 and 3785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3765 and 3785. First we will calculate the prime factors of 3765 and 3785.

Prime Factorization of 3765

Prime Factorization of 3785

Now multiplying the highest exponent prime factors to calculate the LCM of 3765 and 3785.

LCM(3765,3785) = 3¹ × 5¹ × 251¹ × 757¹
LCM(3765,3785) = 2850105