What is the Least Common Multiple of 1845 and 1865?

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 1845 and 1865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1845 and 1865, than apply into the LCM equation.

GCF(1845,1865) = 5
LCM(1845,1865) = ( 1845 × 1865) / 5
LCM(1845,1865) = 3440925 / 5
LCM(1845,1865) = 688185

Least Common Multiple (LCM) of 1845 and 1865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1845 and 1865. First we will calculate the prime factors of 1845 and 1865.

Prime Factorization of 1845

Prime Factorization of 1865

Now multiplying the highest exponent prime factors to calculate the LCM of 1845 and 1865.

LCM(1845,1865) = 3² × 5¹ × 41¹ × 373¹
LCM(1845,1865) = 688185