What is the Least Common Multiple of 96268 and 96278?

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 96268 and 96278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96268 and 96278, than apply into the LCM equation.

GCF(96268,96278) = 2
LCM(96268,96278) = ( 96268 × 96278) / 2
LCM(96268,96278) = 9268490504 / 2
LCM(96268,96278) = 4634245252

Least Common Multiple (LCM) of 96268 and 96278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96268 and 96278. First we will calculate the prime factors of 96268 and 96278.

Prime Factorization of 96268

Prime Factorization of 96278

Now multiplying the highest exponent prime factors to calculate the LCM of 96268 and 96278.

LCM(96268,96278) = 2² × 41¹ × 587¹ × 7¹ × 13¹ × 23²
LCM(96268,96278) = 4634245252