What is the Least Common Multiple of 27310 and 27315?

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 27310 and 27315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27310 and 27315, than apply into the LCM equation.

GCF(27310,27315) = 5
LCM(27310,27315) = ( 27310 × 27315) / 5
LCM(27310,27315) = 745972650 / 5
LCM(27310,27315) = 149194530

Least Common Multiple (LCM) of 27310 and 27315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27310 and 27315. First we will calculate the prime factors of 27310 and 27315.

Prime Factorization of 27310

Prime Factorization of 27315

Now multiplying the highest exponent prime factors to calculate the LCM of 27310 and 27315.

LCM(27310,27315) = 2¹ × 5¹ × 2731¹ × 3² × 607¹
LCM(27310,27315) = 149194530