What is the Least Common Multiple of 2750 and 2768?

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 2750 and 2768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2750 and 2768, than apply into the LCM equation.

GCF(2750,2768) = 2
LCM(2750,2768) = ( 2750 × 2768) / 2
LCM(2750,2768) = 7612000 / 2
LCM(2750,2768) = 3806000

Least Common Multiple (LCM) of 2750 and 2768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2750 and 2768. First we will calculate the prime factors of 2750 and 2768.

Prime Factorization of 2750

Prime Factorization of 2768

Now multiplying the highest exponent prime factors to calculate the LCM of 2750 and 2768.

LCM(2750,2768) = 2⁴ × 5³ × 11¹ × 173¹
LCM(2750,2768) = 3806000