What is the Least Common Multiple of 68288 and 68299?

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 68288 and 68299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68288 and 68299, than apply into the LCM equation.

GCF(68288,68299) = 11
LCM(68288,68299) = ( 68288 × 68299) / 11
LCM(68288,68299) = 4664002112 / 11
LCM(68288,68299) = 424000192

Least Common Multiple (LCM) of 68288 and 68299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68288 and 68299. First we will calculate the prime factors of 68288 and 68299.

Prime Factorization of 68288

Prime Factorization of 68299

Now multiplying the highest exponent prime factors to calculate the LCM of 68288 and 68299.

LCM(68288,68299) = 2⁶ × 11¹ × 97¹ × 7¹ × 887¹
LCM(68288,68299) = 424000192