What is the Least Common Multiple of 57705 and 57714?

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 57705 and 57714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57705 and 57714, than apply into the LCM equation.

GCF(57705,57714) = 3
LCM(57705,57714) = ( 57705 × 57714) / 3
LCM(57705,57714) = 3330386370 / 3
LCM(57705,57714) = 1110128790

Least Common Multiple (LCM) of 57705 and 57714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57705 and 57714. First we will calculate the prime factors of 57705 and 57714.

Prime Factorization of 57705

Prime Factorization of 57714

Now multiplying the highest exponent prime factors to calculate the LCM of 57705 and 57714.

LCM(57705,57714) = 3¹ × 5¹ × 3847¹ × 2¹ × 9619¹
LCM(57705,57714) = 1110128790