What is the Least Common Multiple of 31450 and 31464?

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 31450 and 31464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31450 and 31464, than apply into the LCM equation.

GCF(31450,31464) = 2
LCM(31450,31464) = ( 31450 × 31464) / 2
LCM(31450,31464) = 989542800 / 2
LCM(31450,31464) = 494771400

Least Common Multiple (LCM) of 31450 and 31464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31450 and 31464. First we will calculate the prime factors of 31450 and 31464.

Prime Factorization of 31450

Prime Factorization of 31464

Now multiplying the highest exponent prime factors to calculate the LCM of 31450 and 31464.

LCM(31450,31464) = 2³ × 5² × 17¹ × 37¹ × 3² × 19¹ × 23¹
LCM(31450,31464) = 494771400