What is the Least Common Multiple of 2840 and 2845?

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 2840 and 2845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2840 and 2845, than apply into the LCM equation.

GCF(2840,2845) = 5
LCM(2840,2845) = ( 2840 × 2845) / 5
LCM(2840,2845) = 8079800 / 5
LCM(2840,2845) = 1615960

Least Common Multiple (LCM) of 2840 and 2845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2840 and 2845. First we will calculate the prime factors of 2840 and 2845.

Prime Factorization of 2840

Prime Factorization of 2845

Now multiplying the highest exponent prime factors to calculate the LCM of 2840 and 2845.

LCM(2840,2845) = 2³ × 5¹ × 71¹ × 569¹
LCM(2840,2845) = 1615960