What is the Least Common Multiple of 1836 and 1856?

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 1836 and 1856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1836 and 1856, than apply into the LCM equation.

GCF(1836,1856) = 4
LCM(1836,1856) = ( 1836 × 1856) / 4
LCM(1836,1856) = 3407616 / 4
LCM(1836,1856) = 851904

Least Common Multiple (LCM) of 1836 and 1856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1836 and 1856. First we will calculate the prime factors of 1836 and 1856.

Prime Factorization of 1836

Prime Factorization of 1856

Now multiplying the highest exponent prime factors to calculate the LCM of 1836 and 1856.

LCM(1836,1856) = 2⁶ × 3³ × 17¹ × 29¹
LCM(1836,1856) = 851904