What is the Least Common Multiple of 57315 and 57335?

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 57315 and 57335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57315 and 57335, than apply into the LCM equation.

GCF(57315,57335) = 5
LCM(57315,57335) = ( 57315 × 57335) / 5
LCM(57315,57335) = 3286155525 / 5
LCM(57315,57335) = 657231105

Least Common Multiple (LCM) of 57315 and 57335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57315 and 57335. First we will calculate the prime factors of 57315 and 57335.

Prime Factorization of 57315

Prime Factorization of 57335

Now multiplying the highest exponent prime factors to calculate the LCM of 57315 and 57335.

LCM(57315,57335) = 3¹ × 5¹ × 3821¹ × 11467¹
LCM(57315,57335) = 657231105