What is the Least Common Multiple of 31360 and 31367?

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 31360 and 31367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31360 and 31367, than apply into the LCM equation.

GCF(31360,31367) = 7
LCM(31360,31367) = ( 31360 × 31367) / 7
LCM(31360,31367) = 983669120 / 7
LCM(31360,31367) = 140524160

Least Common Multiple (LCM) of 31360 and 31367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31360 and 31367. First we will calculate the prime factors of 31360 and 31367.

Prime Factorization of 31360

Prime Factorization of 31367

Now multiplying the highest exponent prime factors to calculate the LCM of 31360 and 31367.

LCM(31360,31367) = 2⁷ × 5¹ × 7² × 4481¹
LCM(31360,31367) = 140524160