What is the Least Common Multiple of 31523 and 31541?

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 31523 and 31541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31523 and 31541, than apply into the LCM equation.

GCF(31523,31541) = 1
LCM(31523,31541) = ( 31523 × 31541) / 1
LCM(31523,31541) = 994266943 / 1
LCM(31523,31541) = 994266943

Least Common Multiple (LCM) of 31523 and 31541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31523 and 31541. First we will calculate the prime factors of 31523 and 31541.

Prime Factorization of 31523

Prime Factorization of 31541

Now multiplying the highest exponent prime factors to calculate the LCM of 31523 and 31541.

LCM(31523,31541) = 29¹ × 1087¹ × 31541¹
LCM(31523,31541) = 994266943