What is the Least Common Multiple of 7704 and 7714?

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 7704 and 7714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7704 and 7714, than apply into the LCM equation.

GCF(7704,7714) = 2
LCM(7704,7714) = ( 7704 × 7714) / 2
LCM(7704,7714) = 59428656 / 2
LCM(7704,7714) = 29714328

Least Common Multiple (LCM) of 7704 and 7714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7704 and 7714. First we will calculate the prime factors of 7704 and 7714.

Prime Factorization of 7704

Prime Factorization of 7714

Now multiplying the highest exponent prime factors to calculate the LCM of 7704 and 7714.

LCM(7704,7714) = 2³ × 3² × 107¹ × 7¹ × 19¹ × 29¹
LCM(7704,7714) = 29714328