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What is the Least Common Multiple of 30308 and 30322?

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 30308 and 30322 is 459499588.

LCM(30308,30322) = 459499588

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Least Common Multiple of 30308 and 30322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30308 and 30322, than apply into the LCM equation.

GCF(30308,30322) = 2
LCM(30308,30322) = ( 30308 × 30322) / 2
LCM(30308,30322) = 918999176 / 2
LCM(30308,30322) = 459499588

Least Common Multiple (LCM) of 30308 and 30322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30308 and 30322. First we will calculate the prime factors of 30308 and 30322.

Prime Factorization of 30308

Prime factors of 30308 are 2, 7577. Prime factorization of 30308 in exponential form is:

30308 = 22 × 75771

Prime Factorization of 30322

Prime factors of 30322 are 2, 15161. Prime factorization of 30322 in exponential form is:

30322 = 21 × 151611

Now multiplying the highest exponent prime factors to calculate the LCM of 30308 and 30322.

LCM(30308,30322) = 22 × 75771 × 151611
LCM(30308,30322) = 459499588