What is the Least Common Multiple of 2782 and 2788?

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 2782 and 2788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2782 and 2788, than apply into the LCM equation.

GCF(2782,2788) = 2
LCM(2782,2788) = ( 2782 × 2788) / 2
LCM(2782,2788) = 7756216 / 2
LCM(2782,2788) = 3878108

Least Common Multiple (LCM) of 2782 and 2788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2782 and 2788. First we will calculate the prime factors of 2782 and 2788.

Prime Factorization of 2782

Prime Factorization of 2788

Now multiplying the highest exponent prime factors to calculate the LCM of 2782 and 2788.

LCM(2782,2788) = 2² × 13¹ × 107¹ × 17¹ × 41¹
LCM(2782,2788) = 3878108