What is the Least Common Multiple of 2828 and 2840?

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 2828 and 2840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2828 and 2840, than apply into the LCM equation.

GCF(2828,2840) = 4
LCM(2828,2840) = ( 2828 × 2840) / 4
LCM(2828,2840) = 8031520 / 4
LCM(2828,2840) = 2007880

Least Common Multiple (LCM) of 2828 and 2840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2828 and 2840. First we will calculate the prime factors of 2828 and 2840.

Prime Factorization of 2828

Prime Factorization of 2840

Now multiplying the highest exponent prime factors to calculate the LCM of 2828 and 2840.

LCM(2828,2840) = 2³ × 7¹ × 101¹ × 5¹ × 71¹
LCM(2828,2840) = 2007880