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What is the Least Common Multiple of 23273 and 23287?

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 23273 and 23287 is 541958351.

LCM(23273,23287) = 541958351

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Least Common Multiple of 23273 and 23287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23273 and 23287, than apply into the LCM equation.

GCF(23273,23287) = 1
LCM(23273,23287) = ( 23273 × 23287) / 1
LCM(23273,23287) = 541958351 / 1
LCM(23273,23287) = 541958351

Least Common Multiple (LCM) of 23273 and 23287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23273 and 23287. First we will calculate the prime factors of 23273 and 23287.

Prime Factorization of 23273

Prime factors of 23273 are 17, 37. Prime factorization of 23273 in exponential form is:

23273 = 171 × 372

Prime Factorization of 23287

Prime factors of 23287 are 11, 29, 73. Prime factorization of 23287 in exponential form is:

23287 = 111 × 291 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 23273 and 23287.

LCM(23273,23287) = 171 × 372 × 111 × 291 × 731
LCM(23273,23287) = 541958351