What is the Least Common Multiple of 3785 and 3792?

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 3785 and 3792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3785 and 3792, than apply into the LCM equation.

GCF(3785,3792) = 1
LCM(3785,3792) = ( 3785 × 3792) / 1
LCM(3785,3792) = 14352720 / 1
LCM(3785,3792) = 14352720

Least Common Multiple (LCM) of 3785 and 3792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3785 and 3792. First we will calculate the prime factors of 3785 and 3792.

Prime Factorization of 3785

Prime Factorization of 3792

Now multiplying the highest exponent prime factors to calculate the LCM of 3785 and 3792.

LCM(3785,3792) = 5¹ × 757¹ × 2⁴ × 3¹ × 79¹
LCM(3785,3792) = 14352720