What is the Least Common Multiple of 71325 and 71340?

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 71325 and 71340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71325 and 71340, than apply into the LCM equation.

GCF(71325,71340) = 15
LCM(71325,71340) = ( 71325 × 71340) / 15
LCM(71325,71340) = 5088325500 / 15
LCM(71325,71340) = 339221700

Least Common Multiple (LCM) of 71325 and 71340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71325 and 71340. First we will calculate the prime factors of 71325 and 71340.

Prime Factorization of 71325

Prime Factorization of 71340

Now multiplying the highest exponent prime factors to calculate the LCM of 71325 and 71340.

LCM(71325,71340) = 3² × 5² × 317¹ × 2² × 29¹ × 41¹
LCM(71325,71340) = 339221700