What is the Least Common Multiple of 97300 and 97315?

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 97300 and 97315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97300 and 97315, than apply into the LCM equation.

GCF(97300,97315) = 5
LCM(97300,97315) = ( 97300 × 97315) / 5
LCM(97300,97315) = 9468749500 / 5
LCM(97300,97315) = 1893749900

Least Common Multiple (LCM) of 97300 and 97315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97300 and 97315. First we will calculate the prime factors of 97300 and 97315.

Prime Factorization of 97300

Prime Factorization of 97315

Now multiplying the highest exponent prime factors to calculate the LCM of 97300 and 97315.

LCM(97300,97315) = 2² × 5² × 7¹ × 139¹ × 19463¹
LCM(97300,97315) = 1893749900