What is the Least Common Multiple of 71340 and 71359?

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 71340 and 71359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71340 and 71359, than apply into the LCM equation.

GCF(71340,71359) = 1
LCM(71340,71359) = ( 71340 × 71359) / 1
LCM(71340,71359) = 5090751060 / 1
LCM(71340,71359) = 5090751060

Least Common Multiple (LCM) of 71340 and 71359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71340 and 71359. First we will calculate the prime factors of 71340 and 71359.

Prime Factorization of 71340

Prime Factorization of 71359

Now multiplying the highest exponent prime factors to calculate the LCM of 71340 and 71359.

LCM(71340,71359) = 2² × 3¹ × 5¹ × 29¹ × 41¹ × 71359¹
LCM(71340,71359) = 5090751060