What is the Least Common Multiple of 31457 and 31465?

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 31465 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 31465, than apply into the LCM equation.

GCF(31457,31465) = 1
LCM(31457,31465) = ( 31457 × 31465) / 1
LCM(31457,31465) = 989794505 / 1
LCM(31457,31465) = 989794505

Least Common Multiple (LCM) of 31457 and 31465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31457 and 31465. First we will calculate the prime factors of 31457 and 31465.

Prime Factorization of 31457

Prime Factorization of 31465

Now multiplying the highest exponent prime factors to calculate the LCM of 31457 and 31465.

LCM(31457,31465) = 83¹ × 379¹ × 5¹ × 7¹ × 29¹ × 31¹
LCM(31457,31465) = 989794505