What is the Least Common Multiple of 78290 and 78296?

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 78290 and 78296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78290 and 78296, than apply into the LCM equation.

GCF(78290,78296) = 2
LCM(78290,78296) = ( 78290 × 78296) / 2
LCM(78290,78296) = 6129793840 / 2
LCM(78290,78296) = 3064896920

Least Common Multiple (LCM) of 78290 and 78296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78290 and 78296. First we will calculate the prime factors of 78290 and 78296.

Prime Factorization of 78290

Prime Factorization of 78296

Now multiplying the highest exponent prime factors to calculate the LCM of 78290 and 78296.

LCM(78290,78296) = 2³ × 5¹ × 7829¹ × 9787¹
LCM(78290,78296) = 3064896920