What is the Least Common Multiple of 1848 and 1868?

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 1848 and 1868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1848 and 1868, than apply into the LCM equation.

GCF(1848,1868) = 4
LCM(1848,1868) = ( 1848 × 1868) / 4
LCM(1848,1868) = 3452064 / 4
LCM(1848,1868) = 863016

Least Common Multiple (LCM) of 1848 and 1868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1848 and 1868. First we will calculate the prime factors of 1848 and 1868.

Prime Factorization of 1848

Prime Factorization of 1868

Now multiplying the highest exponent prime factors to calculate the LCM of 1848 and 1868.

LCM(1848,1868) = 2³ × 3¹ × 7¹ × 11¹ × 467¹
LCM(1848,1868) = 863016