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What is the Least Common Multiple of 30473 and 30492?

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 30473 and 30492 is 929182716.

LCM(30473,30492) = 929182716

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Least Common Multiple of 30473 and 30492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30473 and 30492, than apply into the LCM equation.

GCF(30473,30492) = 1
LCM(30473,30492) = ( 30473 × 30492) / 1
LCM(30473,30492) = 929182716 / 1
LCM(30473,30492) = 929182716

Least Common Multiple (LCM) of 30473 and 30492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30473 and 30492. First we will calculate the prime factors of 30473 and 30492.

Prime Factorization of 30473

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

30473 = 311 × 9831

Prime Factorization of 30492

Prime factors of 30492 are 2, 3, 7, 11. Prime factorization of 30492 in exponential form is:

30492 = 22 × 32 × 71 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 30473 and 30492.

LCM(30473,30492) = 311 × 9831 × 22 × 32 × 71 × 112
LCM(30473,30492) = 929182716