What is the Least Common Multiple of 7768 and 7774?

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 7768 and 7774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7768 and 7774, than apply into the LCM equation.

GCF(7768,7774) = 2
LCM(7768,7774) = ( 7768 × 7774) / 2
LCM(7768,7774) = 60388432 / 2
LCM(7768,7774) = 30194216

Least Common Multiple (LCM) of 7768 and 7774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7768 and 7774. First we will calculate the prime factors of 7768 and 7774.

Prime Factorization of 7768

Prime Factorization of 7774

Now multiplying the highest exponent prime factors to calculate the LCM of 7768 and 7774.

LCM(7768,7774) = 2³ × 971¹ × 13² × 23¹
LCM(7768,7774) = 30194216