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What is the Least Common Multiple of 30252 and 30259?

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 30252 and 30259 is 915395268.

LCM(30252,30259) = 915395268

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Least Common Multiple of 30252 and 30259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30252 and 30259, than apply into the LCM equation.

GCF(30252,30259) = 1
LCM(30252,30259) = ( 30252 × 30259) / 1
LCM(30252,30259) = 915395268 / 1
LCM(30252,30259) = 915395268

Least Common Multiple (LCM) of 30252 and 30259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30252 and 30259. First we will calculate the prime factors of 30252 and 30259.

Prime Factorization of 30252

Prime factors of 30252 are 2, 3, 2521. Prime factorization of 30252 in exponential form is:

30252 = 22 × 31 × 25211

Prime Factorization of 30259

Prime factors of 30259 are 30259. Prime factorization of 30259 in exponential form is:

30259 = 302591

Now multiplying the highest exponent prime factors to calculate the LCM of 30252 and 30259.

LCM(30252,30259) = 22 × 31 × 25211 × 302591
LCM(30252,30259) = 915395268