What is the Least Common Multiple of 2792 and 2801?

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 2792 and 2801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2792 and 2801, than apply into the LCM equation.

GCF(2792,2801) = 1
LCM(2792,2801) = ( 2792 × 2801) / 1
LCM(2792,2801) = 7820392 / 1
LCM(2792,2801) = 7820392

Least Common Multiple (LCM) of 2792 and 2801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2792 and 2801. First we will calculate the prime factors of 2792 and 2801.

Prime Factorization of 2792

Prime Factorization of 2801

Now multiplying the highest exponent prime factors to calculate the LCM of 2792 and 2801.

LCM(2792,2801) = 2³ × 349¹ × 2801¹
LCM(2792,2801) = 7820392