What is the Least Common Multiple of 31523 and 31537?

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 31537 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 31537, than apply into the LCM equation.

GCF(31523,31537) = 1
LCM(31523,31537) = ( 31523 × 31537) / 1
LCM(31523,31537) = 994140851 / 1
LCM(31523,31537) = 994140851

Least Common Multiple (LCM) of 31523 and 31537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31523 and 31537. First we will calculate the prime factors of 31523 and 31537.

Prime Factorization of 31523

Prime Factorization of 31537

Now multiplying the highest exponent prime factors to calculate the LCM of 31523 and 31537.

LCM(31523,31537) = 29¹ × 1087¹ × 11¹ × 47¹ × 61¹
LCM(31523,31537) = 994140851