What is the Least Common Multiple of 2734 and 2747?

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 2734 and 2747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2734 and 2747, than apply into the LCM equation.

GCF(2734,2747) = 1
LCM(2734,2747) = ( 2734 × 2747) / 1
LCM(2734,2747) = 7510298 / 1
LCM(2734,2747) = 7510298

Least Common Multiple (LCM) of 2734 and 2747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2734 and 2747. First we will calculate the prime factors of 2734 and 2747.

Prime Factorization of 2734

Prime Factorization of 2747

Now multiplying the highest exponent prime factors to calculate the LCM of 2734 and 2747.

LCM(2734,2747) = 2¹ × 1367¹ × 41¹ × 67¹
LCM(2734,2747) = 7510298