What is the Least Common Multiple of 3792 and 3805?

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 3792 and 3805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3792 and 3805, than apply into the LCM equation.

GCF(3792,3805) = 1
LCM(3792,3805) = ( 3792 × 3805) / 1
LCM(3792,3805) = 14428560 / 1
LCM(3792,3805) = 14428560

Least Common Multiple (LCM) of 3792 and 3805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3792 and 3805. First we will calculate the prime factors of 3792 and 3805.

Prime Factorization of 3792

Prime Factorization of 3805

Now multiplying the highest exponent prime factors to calculate the LCM of 3792 and 3805.

LCM(3792,3805) = 2⁴ × 3¹ × 79¹ × 5¹ × 761¹
LCM(3792,3805) = 14428560