What is the Least Common Multiple of 31467 and 31475?

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 31467 and 31475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31467 and 31475, than apply into the LCM equation.

GCF(31467,31475) = 1
LCM(31467,31475) = ( 31467 × 31475) / 1
LCM(31467,31475) = 990423825 / 1
LCM(31467,31475) = 990423825

Least Common Multiple (LCM) of 31467 and 31475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31467 and 31475. First we will calculate the prime factors of 31467 and 31475.

Prime Factorization of 31467

Prime Factorization of 31475

Now multiplying the highest exponent prime factors to calculate the LCM of 31467 and 31475.

LCM(31467,31475) = 3¹ × 17¹ × 617¹ × 5² × 1259¹
LCM(31467,31475) = 990423825