What is the Least Common Multiple of 31344 and 31358?

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 31344 and 31358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31344 and 31358, than apply into the LCM equation.

GCF(31344,31358) = 2
LCM(31344,31358) = ( 31344 × 31358) / 2
LCM(31344,31358) = 982885152 / 2
LCM(31344,31358) = 491442576

Least Common Multiple (LCM) of 31344 and 31358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31344 and 31358. First we will calculate the prime factors of 31344 and 31358.

Prime Factorization of 31344

Prime Factorization of 31358

Now multiplying the highest exponent prime factors to calculate the LCM of 31344 and 31358.

LCM(31344,31358) = 2⁴ × 3¹ × 653¹ × 15679¹
LCM(31344,31358) = 491442576