What is the Least Common Multiple of 10874 and 10891?

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 10874 and 10891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10874 and 10891, than apply into the LCM equation.

GCF(10874,10891) = 1
LCM(10874,10891) = ( 10874 × 10891) / 1
LCM(10874,10891) = 118428734 / 1
LCM(10874,10891) = 118428734

Least Common Multiple (LCM) of 10874 and 10891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10874 and 10891. First we will calculate the prime factors of 10874 and 10891.

Prime Factorization of 10874

Prime Factorization of 10891

Now multiplying the highest exponent prime factors to calculate the LCM of 10874 and 10891.

LCM(10874,10891) = 2¹ × 5437¹ × 10891¹
LCM(10874,10891) = 118428734