What is the Least Common Multiple of 2812 and 2826?

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 2826 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 2826, than apply into the LCM equation.

GCF(2812,2826) = 2
LCM(2812,2826) = ( 2812 × 2826) / 2
LCM(2812,2826) = 7946712 / 2
LCM(2812,2826) = 3973356

Least Common Multiple (LCM) of 2812 and 2826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2812 and 2826. First we will calculate the prime factors of 2812 and 2826.

Prime Factorization of 2812

Prime Factorization of 2826

Now multiplying the highest exponent prime factors to calculate the LCM of 2812 and 2826.

LCM(2812,2826) = 2² × 19¹ × 37¹ × 3² × 157¹
LCM(2812,2826) = 3973356