What is the Least Common Multiple of 57340 and 57345?

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 57340 and 57345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57340 and 57345, than apply into the LCM equation.

GCF(57340,57345) = 5
LCM(57340,57345) = ( 57340 × 57345) / 5
LCM(57340,57345) = 3288162300 / 5
LCM(57340,57345) = 657632460

Least Common Multiple (LCM) of 57340 and 57345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57340 and 57345. First we will calculate the prime factors of 57340 and 57345.

Prime Factorization of 57340

Prime Factorization of 57345

Now multiplying the highest exponent prime factors to calculate the LCM of 57340 and 57345.

LCM(57340,57345) = 2² × 5¹ × 47¹ × 61¹ × 3¹ × 3823¹
LCM(57340,57345) = 657632460