What is the Least Common Multiple of 10838 and 10856?

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 10838 and 10856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10838 and 10856, than apply into the LCM equation.

GCF(10838,10856) = 2
LCM(10838,10856) = ( 10838 × 10856) / 2
LCM(10838,10856) = 117657328 / 2
LCM(10838,10856) = 58828664

Least Common Multiple (LCM) of 10838 and 10856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10838 and 10856. First we will calculate the prime factors of 10838 and 10856.

Prime Factorization of 10838

Prime Factorization of 10856

Now multiplying the highest exponent prime factors to calculate the LCM of 10838 and 10856.

LCM(10838,10856) = 2³ × 5419¹ × 23¹ × 59¹
LCM(10838,10856) = 58828664