GCF and LCM Calculator Logo

What is the Least Common Multiple of 69282 and 69299?

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 (LCM) of 69282 and 69299 is 4801173318.

LCM(69282,69299) = 4801173318

LCM Calculator and
and

Least Common Multiple of 69282 and 69299 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 69299, than apply into the LCM equation.

GCF(69282,69299) = 1
LCM(69282,69299) = ( 69282 × 69299) / 1
LCM(69282,69299) = 4801173318 / 1
LCM(69282,69299) = 4801173318

Least Common Multiple (LCM) of 69282 and 69299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69282 and 69299. First we will calculate the prime factors of 69282 and 69299.

Prime Factorization of 69282

Prime factors of 69282 are 2, 3, 1283. Prime factorization of 69282 in exponential form is:

69282 = 21 × 33 × 12831

Prime Factorization of 69299

Prime factors of 69299 are 23, 131. Prime factorization of 69299 in exponential form is:

69299 = 232 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 69282 and 69299.

LCM(69282,69299) = 21 × 33 × 12831 × 232 × 1311
LCM(69282,69299) = 4801173318