What is the Least Common Multiple of 11715 and 11731?

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 11715 and 11731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11715 and 11731, than apply into the LCM equation.

GCF(11715,11731) = 1
LCM(11715,11731) = ( 11715 × 11731) / 1
LCM(11715,11731) = 137428665 / 1
LCM(11715,11731) = 137428665

Least Common Multiple (LCM) of 11715 and 11731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11715 and 11731. First we will calculate the prime factors of 11715 and 11731.

Prime Factorization of 11715

Prime Factorization of 11731

Now multiplying the highest exponent prime factors to calculate the LCM of 11715 and 11731.

LCM(11715,11731) = 3¹ × 5¹ × 11¹ × 71¹ × 11731¹
LCM(11715,11731) = 137428665