What is the Least Common Multiple of 10856 and 10874?

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 10856 and 10874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10856 and 10874, than apply into the LCM equation.

GCF(10856,10874) = 2
LCM(10856,10874) = ( 10856 × 10874) / 2
LCM(10856,10874) = 118048144 / 2
LCM(10856,10874) = 59024072

Least Common Multiple (LCM) of 10856 and 10874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10856 and 10874. First we will calculate the prime factors of 10856 and 10874.

Prime Factorization of 10856

Prime Factorization of 10874

Now multiplying the highest exponent prime factors to calculate the LCM of 10856 and 10874.

LCM(10856,10874) = 2³ × 23¹ × 59¹ × 5437¹
LCM(10856,10874) = 59024072