What is the Least Common Multiple of 78596 and 78616?

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 78616 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 78616, than apply into the LCM equation.

GCF(78596,78616) = 4
LCM(78596,78616) = ( 78596 × 78616) / 4
LCM(78596,78616) = 6178903136 / 4
LCM(78596,78616) = 1544725784

Least Common Multiple (LCM) of 78596 and 78616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78596 and 78616. First we will calculate the prime factors of 78596 and 78616.

Prime Factorization of 78596

Prime Factorization of 78616

Now multiplying the highest exponent prime factors to calculate the LCM of 78596 and 78616.

LCM(78596,78616) = 2³ × 7² × 401¹ × 31¹ × 317¹
LCM(78596,78616) = 1544725784