What is the Least Common Multiple of 75471 and 75491?

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 75471 and 75491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75471 and 75491, than apply into the LCM equation.

GCF(75471,75491) = 1
LCM(75471,75491) = ( 75471 × 75491) / 1
LCM(75471,75491) = 5697381261 / 1
LCM(75471,75491) = 5697381261

Least Common Multiple (LCM) of 75471 and 75491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75471 and 75491. First we will calculate the prime factors of 75471 and 75491.

Prime Factorization of 75471

Prime Factorization of 75491

Now multiplying the highest exponent prime factors to calculate the LCM of 75471 and 75491.

LCM(75471,75491) = 3¹ × 11¹ × 2287¹ × 13¹ × 5807¹
LCM(75471,75491) = 5697381261