What is the Least Common Multiple of 57555 and 57574?

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 57555 and 57574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57555 and 57574, than apply into the LCM equation.

GCF(57555,57574) = 1
LCM(57555,57574) = ( 57555 × 57574) / 1
LCM(57555,57574) = 3313671570 / 1
LCM(57555,57574) = 3313671570

Least Common Multiple (LCM) of 57555 and 57574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57555 and 57574. First we will calculate the prime factors of 57555 and 57574.

Prime Factorization of 57555

Prime Factorization of 57574

Now multiplying the highest exponent prime factors to calculate the LCM of 57555 and 57574.

LCM(57555,57574) = 3² × 5¹ × 1279¹ × 2¹ × 11¹ × 2617¹
LCM(57555,57574) = 3313671570