What is the Least Common Multiple of 31474 and 31487?

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 31474 and 31487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31474 and 31487, than apply into the LCM equation.

GCF(31474,31487) = 1
LCM(31474,31487) = ( 31474 × 31487) / 1
LCM(31474,31487) = 991021838 / 1
LCM(31474,31487) = 991021838

Least Common Multiple (LCM) of 31474 and 31487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31474 and 31487. First we will calculate the prime factors of 31474 and 31487.

Prime Factorization of 31474

Prime Factorization of 31487

Now multiplying the highest exponent prime factors to calculate the LCM of 31474 and 31487.

LCM(31474,31487) = 2¹ × 15737¹ × 23¹ × 37²
LCM(31474,31487) = 991021838