What is the Least Common Multiple of 27315 and 27335?

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 27315 and 27335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27315 and 27335, than apply into the LCM equation.

GCF(27315,27335) = 5
LCM(27315,27335) = ( 27315 × 27335) / 5
LCM(27315,27335) = 746655525 / 5
LCM(27315,27335) = 149331105

Least Common Multiple (LCM) of 27315 and 27335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27315 and 27335. First we will calculate the prime factors of 27315 and 27335.

Prime Factorization of 27315

Prime Factorization of 27335

Now multiplying the highest exponent prime factors to calculate the LCM of 27315 and 27335.

LCM(27315,27335) = 3² × 5¹ × 607¹ × 7¹ × 11¹ × 71¹
LCM(27315,27335) = 149331105