What is the Least Common Multiple of 2744 and 2753?

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 2744 and 2753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2744 and 2753, than apply into the LCM equation.

GCF(2744,2753) = 1
LCM(2744,2753) = ( 2744 × 2753) / 1
LCM(2744,2753) = 7554232 / 1
LCM(2744,2753) = 7554232

Least Common Multiple (LCM) of 2744 and 2753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2744 and 2753. First we will calculate the prime factors of 2744 and 2753.

Prime Factorization of 2744

Prime Factorization of 2753

Now multiplying the highest exponent prime factors to calculate the LCM of 2744 and 2753.

LCM(2744,2753) = 2³ × 7³ × 2753¹
LCM(2744,2753) = 7554232