What is the Least Common Multiple of 3888 and 3893?

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 3888 and 3893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3888 and 3893, than apply into the LCM equation.

GCF(3888,3893) = 1
LCM(3888,3893) = ( 3888 × 3893) / 1
LCM(3888,3893) = 15135984 / 1
LCM(3888,3893) = 15135984

Least Common Multiple (LCM) of 3888 and 3893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3888 and 3893. First we will calculate the prime factors of 3888 and 3893.

Prime Factorization of 3888

Prime Factorization of 3893

Now multiplying the highest exponent prime factors to calculate the LCM of 3888 and 3893.

LCM(3888,3893) = 2⁴ × 3⁵ × 17¹ × 229¹
LCM(3888,3893) = 15135984