What is the Least Common Multiple of 31457 and 31473?

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 31457 and 31473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31457 and 31473, than apply into the LCM equation.

GCF(31457,31473) = 1
LCM(31457,31473) = ( 31457 × 31473) / 1
LCM(31457,31473) = 990046161 / 1
LCM(31457,31473) = 990046161

Least Common Multiple (LCM) of 31457 and 31473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31457 and 31473. First we will calculate the prime factors of 31457 and 31473.

Prime Factorization of 31457

Prime Factorization of 31473

Now multiplying the highest exponent prime factors to calculate the LCM of 31457 and 31473.

LCM(31457,31473) = 83¹ × 379¹ × 3² × 13¹ × 269¹
LCM(31457,31473) = 990046161