What is the Least Common Multiple of 1854 and 1864?

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 1854 and 1864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1854 and 1864, than apply into the LCM equation.

GCF(1854,1864) = 2
LCM(1854,1864) = ( 1854 × 1864) / 2
LCM(1854,1864) = 3455856 / 2
LCM(1854,1864) = 1727928

Least Common Multiple (LCM) of 1854 and 1864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1854 and 1864. First we will calculate the prime factors of 1854 and 1864.

Prime Factorization of 1854

Prime Factorization of 1864

Now multiplying the highest exponent prime factors to calculate the LCM of 1854 and 1864.

LCM(1854,1864) = 2³ × 3² × 103¹ × 233¹
LCM(1854,1864) = 1727928