What is the Least Common Multiple of 57699 and 57705?

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 57699 and 57705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57699 and 57705, than apply into the LCM equation.

GCF(57699,57705) = 3
LCM(57699,57705) = ( 57699 × 57705) / 3
LCM(57699,57705) = 3329520795 / 3
LCM(57699,57705) = 1109840265

Least Common Multiple (LCM) of 57699 and 57705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57699 and 57705. First we will calculate the prime factors of 57699 and 57705.

Prime Factorization of 57699

Prime Factorization of 57705

Now multiplying the highest exponent prime factors to calculate the LCM of 57699 and 57705.

LCM(57699,57705) = 3³ × 2137¹ × 5¹ × 3847¹
LCM(57699,57705) = 1109840265