What is the Least Common Multiple of 2812 and 2824?

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 2812 and 2824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2812 and 2824, than apply into the LCM equation.

GCF(2812,2824) = 4
LCM(2812,2824) = ( 2812 × 2824) / 4
LCM(2812,2824) = 7941088 / 4
LCM(2812,2824) = 1985272

Least Common Multiple (LCM) of 2812 and 2824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2812 and 2824. First we will calculate the prime factors of 2812 and 2824.

Prime Factorization of 2812

Prime Factorization of 2824

Now multiplying the highest exponent prime factors to calculate the LCM of 2812 and 2824.

LCM(2812,2824) = 2³ × 19¹ × 37¹ × 353¹
LCM(2812,2824) = 1985272