What is the Least Common Multiple of 57354 and 57371?

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 57354 and 57371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57354 and 57371, than apply into the LCM equation.

GCF(57354,57371) = 1
LCM(57354,57371) = ( 57354 × 57371) / 1
LCM(57354,57371) = 3290456334 / 1
LCM(57354,57371) = 3290456334

Least Common Multiple (LCM) of 57354 and 57371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57354 and 57371. First we will calculate the prime factors of 57354 and 57371.

Prime Factorization of 57354

Prime Factorization of 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 57354 and 57371.

LCM(57354,57371) = 2¹ × 3¹ × 11² × 79¹ × 103¹ × 557¹
LCM(57354,57371) = 3290456334