What is the Least Common Multiple of 31450 and 31459?

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 31459 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 31459, than apply into the LCM equation.

GCF(31450,31459) = 1
LCM(31450,31459) = ( 31450 × 31459) / 1
LCM(31450,31459) = 989385550 / 1
LCM(31450,31459) = 989385550

Least Common Multiple (LCM) of 31450 and 31459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31450 and 31459. First we will calculate the prime factors of 31450 and 31459.

Prime Factorization of 31450

Prime Factorization of 31459

Now multiplying the highest exponent prime factors to calculate the LCM of 31450 and 31459.

LCM(31450,31459) = 2¹ × 5² × 17¹ × 37¹ × 163¹ × 193¹
LCM(31450,31459) = 989385550