What is the Least Common Multiple of 31358 and 31376?

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 31358 and 31376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31358 and 31376, than apply into the LCM equation.

GCF(31358,31376) = 2
LCM(31358,31376) = ( 31358 × 31376) / 2
LCM(31358,31376) = 983888608 / 2
LCM(31358,31376) = 491944304

Least Common Multiple (LCM) of 31358 and 31376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31358 and 31376. First we will calculate the prime factors of 31358 and 31376.

Prime Factorization of 31358

Prime Factorization of 31376

Now multiplying the highest exponent prime factors to calculate the LCM of 31358 and 31376.

LCM(31358,31376) = 2⁴ × 15679¹ × 37¹ × 53¹
LCM(31358,31376) = 491944304