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What is the Least Common Multiple of 34469 and 34483?

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 34469 and 34483 is 1188594527.

LCM(34469,34483) = 1188594527

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Least Common Multiple of 34469 and 34483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34469 and 34483, than apply into the LCM equation.

GCF(34469,34483) = 1
LCM(34469,34483) = ( 34469 × 34483) / 1
LCM(34469,34483) = 1188594527 / 1
LCM(34469,34483) = 1188594527

Least Common Multiple (LCM) of 34469 and 34483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34469 and 34483. First we will calculate the prime factors of 34469 and 34483.

Prime Factorization of 34469

Prime factors of 34469 are 34469. Prime factorization of 34469 in exponential form is:

34469 = 344691

Prime Factorization of 34483

Prime factors of 34483 are 34483. Prime factorization of 34483 in exponential form is:

34483 = 344831

Now multiplying the highest exponent prime factors to calculate the LCM of 34469 and 34483.

LCM(34469,34483) = 344691 × 344831
LCM(34469,34483) = 1188594527