What is the Least Common Multiple of 57345 and 57355?

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 57345 and 57355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57345 and 57355, than apply into the LCM equation.

GCF(57345,57355) = 5
LCM(57345,57355) = ( 57345 × 57355) / 5
LCM(57345,57355) = 3289022475 / 5
LCM(57345,57355) = 657804495

Least Common Multiple (LCM) of 57345 and 57355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57345 and 57355. First we will calculate the prime factors of 57345 and 57355.

Prime Factorization of 57345

Prime Factorization of 57355

Now multiplying the highest exponent prime factors to calculate the LCM of 57345 and 57355.

LCM(57345,57355) = 3¹ × 5¹ × 3823¹ × 11471¹
LCM(57345,57355) = 657804495