What is the Least Common Multiple of 7750 and 7764?

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 7750 and 7764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7750 and 7764, than apply into the LCM equation.

GCF(7750,7764) = 2
LCM(7750,7764) = ( 7750 × 7764) / 2
LCM(7750,7764) = 60171000 / 2
LCM(7750,7764) = 30085500

Least Common Multiple (LCM) of 7750 and 7764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7750 and 7764. First we will calculate the prime factors of 7750 and 7764.

Prime Factorization of 7750

Prime Factorization of 7764

Now multiplying the highest exponent prime factors to calculate the LCM of 7750 and 7764.

LCM(7750,7764) = 2² × 5³ × 31¹ × 3¹ × 647¹
LCM(7750,7764) = 30085500