What is the Least Common Multiple of 1864 and 1874?

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 1864 and 1874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1864 and 1874, than apply into the LCM equation.

GCF(1864,1874) = 2
LCM(1864,1874) = ( 1864 × 1874) / 2
LCM(1864,1874) = 3493136 / 2
LCM(1864,1874) = 1746568

Least Common Multiple (LCM) of 1864 and 1874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1864 and 1874. First we will calculate the prime factors of 1864 and 1874.

Prime Factorization of 1864

Prime Factorization of 1874

Now multiplying the highest exponent prime factors to calculate the LCM of 1864 and 1874.

LCM(1864,1874) = 2³ × 233¹ × 937¹
LCM(1864,1874) = 1746568