What is the Least Common Multiple of 78596 and 78614?

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 78596 and 78614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78596 and 78614, than apply into the LCM equation.

GCF(78596,78614) = 2
LCM(78596,78614) = ( 78596 × 78614) / 2
LCM(78596,78614) = 6178745944 / 2
LCM(78596,78614) = 3089372972

Least Common Multiple (LCM) of 78596 and 78614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78596 and 78614. First we will calculate the prime factors of 78596 and 78614.

Prime Factorization of 78596

Prime Factorization of 78614

Now multiplying the highest exponent prime factors to calculate the LCM of 78596 and 78614.

LCM(78596,78614) = 2² × 7² × 401¹ × 23¹ × 1709¹
LCM(78596,78614) = 3089372972