What is the Least Common Multiple of 2766 and 2782?

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 2766 and 2782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2766 and 2782, than apply into the LCM equation.

GCF(2766,2782) = 2
LCM(2766,2782) = ( 2766 × 2782) / 2
LCM(2766,2782) = 7695012 / 2
LCM(2766,2782) = 3847506

Least Common Multiple (LCM) of 2766 and 2782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2766 and 2782. First we will calculate the prime factors of 2766 and 2782.

Prime Factorization of 2766

Prime Factorization of 2782

Now multiplying the highest exponent prime factors to calculate the LCM of 2766 and 2782.

LCM(2766,2782) = 2¹ × 3¹ × 461¹ × 13¹ × 107¹
LCM(2766,2782) = 3847506