What is the Least Common Multiple of 2784 and 2792?

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 2784 and 2792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2784 and 2792, than apply into the LCM equation.

GCF(2784,2792) = 8
LCM(2784,2792) = ( 2784 × 2792) / 8
LCM(2784,2792) = 7772928 / 8
LCM(2784,2792) = 971616

Least Common Multiple (LCM) of 2784 and 2792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2784 and 2792. First we will calculate the prime factors of 2784 and 2792.

Prime Factorization of 2784

Prime Factorization of 2792

Now multiplying the highest exponent prime factors to calculate the LCM of 2784 and 2792.

LCM(2784,2792) = 2⁵ × 3¹ × 29¹ × 349¹
LCM(2784,2792) = 971616