What is the Least Common Multiple of 97874 and 97891?

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 97874 and 97891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97874 and 97891, than apply into the LCM equation.

GCF(97874,97891) = 1
LCM(97874,97891) = ( 97874 × 97891) / 1
LCM(97874,97891) = 9580983734 / 1
LCM(97874,97891) = 9580983734

Least Common Multiple (LCM) of 97874 and 97891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97874 and 97891. First we will calculate the prime factors of 97874 and 97891.

Prime Factorization of 97874

Prime Factorization of 97891

Now multiplying the highest exponent prime factors to calculate the LCM of 97874 and 97891.

LCM(97874,97891) = 2¹ × 7¹ × 6991¹ × 53¹ × 1847¹
LCM(97874,97891) = 9580983734