What is the Least Common Multiple of 2749 and 2756?

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 2749 and 2756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2749 and 2756, than apply into the LCM equation.

GCF(2749,2756) = 1
LCM(2749,2756) = ( 2749 × 2756) / 1
LCM(2749,2756) = 7576244 / 1
LCM(2749,2756) = 7576244

Least Common Multiple (LCM) of 2749 and 2756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2749 and 2756. First we will calculate the prime factors of 2749 and 2756.

Prime Factorization of 2749

Prime Factorization of 2756

Now multiplying the highest exponent prime factors to calculate the LCM of 2749 and 2756.

LCM(2749,2756) = 2749¹ × 2² × 13¹ × 53¹
LCM(2749,2756) = 7576244