What is the Least Common Multiple of 69282 and 69287?

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 69282 and 69287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69282 and 69287, than apply into the LCM equation.

GCF(69282,69287) = 1
LCM(69282,69287) = ( 69282 × 69287) / 1
LCM(69282,69287) = 4800341934 / 1
LCM(69282,69287) = 4800341934

Least Common Multiple (LCM) of 69282 and 69287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69282 and 69287. First we will calculate the prime factors of 69282 and 69287.

Prime Factorization of 69282

Prime Factorization of 69287

Now multiplying the highest exponent prime factors to calculate the LCM of 69282 and 69287.

LCM(69282,69287) = 2¹ × 3³ × 1283¹ × 193¹ × 359¹
LCM(69282,69287) = 4800341934