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What is the Least Common Multiple of 17830 and 17847?

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 17830 and 17847 is 318212010.

LCM(17830,17847) = 318212010

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Least Common Multiple of 17830 and 17847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17830 and 17847, than apply into the LCM equation.

GCF(17830,17847) = 1
LCM(17830,17847) = ( 17830 × 17847) / 1
LCM(17830,17847) = 318212010 / 1
LCM(17830,17847) = 318212010

Least Common Multiple (LCM) of 17830 and 17847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17830 and 17847. First we will calculate the prime factors of 17830 and 17847.

Prime Factorization of 17830

Prime factors of 17830 are 2, 5, 1783. Prime factorization of 17830 in exponential form is:

17830 = 21 × 51 × 17831

Prime Factorization of 17847

Prime factors of 17847 are 3, 661. Prime factorization of 17847 in exponential form is:

17847 = 33 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 17830 and 17847.

LCM(17830,17847) = 21 × 51 × 17831 × 33 × 6611
LCM(17830,17847) = 318212010