What is the Least Common Multiple of 71597 and 71615?

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 71597 and 71615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71597 and 71615, than apply into the LCM equation.

GCF(71597,71615) = 1
LCM(71597,71615) = ( 71597 × 71615) / 1
LCM(71597,71615) = 5127419155 / 1
LCM(71597,71615) = 5127419155

Least Common Multiple (LCM) of 71597 and 71615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71597 and 71615. First we will calculate the prime factors of 71597 and 71615.

Prime Factorization of 71597

Prime Factorization of 71615

Now multiplying the highest exponent prime factors to calculate the LCM of 71597 and 71615.

LCM(71597,71615) = 71597¹ × 5¹ × 14323¹
LCM(71597,71615) = 5127419155