What is the Least Common Multiple of 97315 and 97334?

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 97315 and 97334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97315 and 97334, than apply into the LCM equation.

GCF(97315,97334) = 1
LCM(97315,97334) = ( 97315 × 97334) / 1
LCM(97315,97334) = 9472058210 / 1
LCM(97315,97334) = 9472058210

Least Common Multiple (LCM) of 97315 and 97334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97315 and 97334. First we will calculate the prime factors of 97315 and 97334.

Prime Factorization of 97315

Prime Factorization of 97334

Now multiplying the highest exponent prime factors to calculate the LCM of 97315 and 97334.

LCM(97315,97334) = 5¹ × 19463¹ × 2¹ × 41¹ × 1187¹
LCM(97315,97334) = 9472058210