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What is the Least Common Multiple of 30484 and 30501?

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 30484 and 30501 is 929792484.

LCM(30484,30501) = 929792484

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Least Common Multiple of 30484 and 30501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30484 and 30501, than apply into the LCM equation.

GCF(30484,30501) = 1
LCM(30484,30501) = ( 30484 × 30501) / 1
LCM(30484,30501) = 929792484 / 1
LCM(30484,30501) = 929792484

Least Common Multiple (LCM) of 30484 and 30501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30484 and 30501. First we will calculate the prime factors of 30484 and 30501.

Prime Factorization of 30484

Prime factors of 30484 are 2, 7621. Prime factorization of 30484 in exponential form is:

30484 = 22 × 76211

Prime Factorization of 30501

Prime factors of 30501 are 3, 3389. Prime factorization of 30501 in exponential form is:

30501 = 32 × 33891

Now multiplying the highest exponent prime factors to calculate the LCM of 30484 and 30501.

LCM(30484,30501) = 22 × 76211 × 32 × 33891
LCM(30484,30501) = 929792484