What is the Least Common Multiple of 31334 and 31344?

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 31334 and 31344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31334 and 31344, than apply into the LCM equation.

GCF(31334,31344) = 2
LCM(31334,31344) = ( 31334 × 31344) / 2
LCM(31334,31344) = 982132896 / 2
LCM(31334,31344) = 491066448

Least Common Multiple (LCM) of 31334 and 31344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31334 and 31344. First we will calculate the prime factors of 31334 and 31344.

Prime Factorization of 31334

Prime Factorization of 31344

Now multiplying the highest exponent prime factors to calculate the LCM of 31334 and 31344.

LCM(31334,31344) = 2⁴ × 15667¹ × 3¹ × 653¹
LCM(31334,31344) = 491066448