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What is the Least Common Multiple of 30467 and 30473?

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 30473 is 928420891.

LCM(30467,30473) = 928420891

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Least Common Multiple of 30467 and 30473 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 30473, than apply into the LCM equation.

GCF(30467,30473) = 1
LCM(30467,30473) = ( 30467 × 30473) / 1
LCM(30467,30473) = 928420891 / 1
LCM(30467,30473) = 928420891

Least Common Multiple (LCM) of 30467 and 30473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30467 and 30473. First we will calculate the prime factors of 30467 and 30473.

Prime Factorization of 30467

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

30467 = 304671

Prime Factorization of 30473

Prime factors of 30473 are 31, 983. Prime factorization of 30473 in exponential form is:

30473 = 311 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 30467 and 30473.

LCM(30467,30473) = 304671 × 311 × 9831
LCM(30467,30473) = 928420891