What is the Least Common Multiple of 2844 and 2862?

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 2844 and 2862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2844 and 2862, than apply into the LCM equation.

GCF(2844,2862) = 18
LCM(2844,2862) = ( 2844 × 2862) / 18
LCM(2844,2862) = 8139528 / 18
LCM(2844,2862) = 452196

Least Common Multiple (LCM) of 2844 and 2862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2844 and 2862. First we will calculate the prime factors of 2844 and 2862.

Prime Factorization of 2844

Prime Factorization of 2862

Now multiplying the highest exponent prime factors to calculate the LCM of 2844 and 2862.

LCM(2844,2862) = 2² × 3³ × 79¹ × 53¹
LCM(2844,2862) = 452196