What is the Least Common Multiple of 1836 and 1848?

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 1848 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 1848, than apply into the LCM equation.

GCF(1836,1848) = 12
LCM(1836,1848) = ( 1836 × 1848) / 12
LCM(1836,1848) = 3392928 / 12
LCM(1836,1848) = 282744

Least Common Multiple (LCM) of 1836 and 1848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1836 and 1848. First we will calculate the prime factors of 1836 and 1848.

Prime Factorization of 1836

Prime Factorization of 1848

Now multiplying the highest exponent prime factors to calculate the LCM of 1836 and 1848.

LCM(1836,1848) = 2³ × 3³ × 17¹ × 7¹ × 11¹
LCM(1836,1848) = 282744