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What is the Least Common Multiple of 30467 and 30481?

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 30467 and 30481 is 928664627.

LCM(30467,30481) = 928664627

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Least Common Multiple of 30467 and 30481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30467 and 30481, than apply into the LCM equation.

GCF(30467,30481) = 1
LCM(30467,30481) = ( 30467 × 30481) / 1
LCM(30467,30481) = 928664627 / 1
LCM(30467,30481) = 928664627

Least Common Multiple (LCM) of 30467 and 30481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30467 and 30481. First we will calculate the prime factors of 30467 and 30481.

Prime Factorization of 30467

Prime factors of 30467 are 30467. Prime factorization of 30467 in exponential form is:

30467 = 304671

Prime Factorization of 30481

Prime factors of 30481 are 11, 17, 163. Prime factorization of 30481 in exponential form is:

30481 = 111 × 171 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 30467 and 30481.

LCM(30467,30481) = 304671 × 111 × 171 × 1631
LCM(30467,30481) = 928664627