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What is the Least Common Multiple of 23449 and 23469?

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 23449 and 23469 is 550324581.

LCM(23449,23469) = 550324581

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Least Common Multiple of 23449 and 23469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23449 and 23469, than apply into the LCM equation.

GCF(23449,23469) = 1
LCM(23449,23469) = ( 23449 × 23469) / 1
LCM(23449,23469) = 550324581 / 1
LCM(23449,23469) = 550324581

Least Common Multiple (LCM) of 23449 and 23469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23449 and 23469. First we will calculate the prime factors of 23449 and 23469.

Prime Factorization of 23449

Prime factors of 23449 are 131, 179. Prime factorization of 23449 in exponential form is:

23449 = 1311 × 1791

Prime Factorization of 23469

Prime factors of 23469 are 3, 7823. Prime factorization of 23469 in exponential form is:

23469 = 31 × 78231

Now multiplying the highest exponent prime factors to calculate the LCM of 23449 and 23469.

LCM(23449,23469) = 1311 × 1791 × 31 × 78231
LCM(23449,23469) = 550324581