What is the Least Common Multiple of 31473 and 31483?

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 31473 and 31483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31473 and 31483, than apply into the LCM equation.

GCF(31473,31483) = 1
LCM(31473,31483) = ( 31473 × 31483) / 1
LCM(31473,31483) = 990864459 / 1
LCM(31473,31483) = 990864459

Least Common Multiple (LCM) of 31473 and 31483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31473 and 31483. First we will calculate the prime factors of 31473 and 31483.

Prime Factorization of 31473

Prime Factorization of 31483

Now multiplying the highest exponent prime factors to calculate the LCM of 31473 and 31483.

LCM(31473,31483) = 3² × 13¹ × 269¹ × 19¹ × 1657¹
LCM(31473,31483) = 990864459