What is the Least Common Multiple of 31472 and 31489?

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 31472 and 31489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31472 and 31489, than apply into the LCM equation.

GCF(31472,31489) = 1
LCM(31472,31489) = ( 31472 × 31489) / 1
LCM(31472,31489) = 991021808 / 1
LCM(31472,31489) = 991021808

Least Common Multiple (LCM) of 31472 and 31489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31472 and 31489. First we will calculate the prime factors of 31472 and 31489.

Prime Factorization of 31472

Prime Factorization of 31489

Now multiplying the highest exponent prime factors to calculate the LCM of 31472 and 31489.

LCM(31472,31489) = 2⁴ × 7¹ × 281¹ × 31489¹
LCM(31472,31489) = 991021808