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What is the Least Common Multiple of 23376 and 23393?

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 23376 and 23393 is 546834768.

LCM(23376,23393) = 546834768

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Least Common Multiple of 23376 and 23393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23376 and 23393, than apply into the LCM equation.

GCF(23376,23393) = 1
LCM(23376,23393) = ( 23376 × 23393) / 1
LCM(23376,23393) = 546834768 / 1
LCM(23376,23393) = 546834768

Least Common Multiple (LCM) of 23376 and 23393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23376 and 23393. First we will calculate the prime factors of 23376 and 23393.

Prime Factorization of 23376

Prime factors of 23376 are 2, 3, 487. Prime factorization of 23376 in exponential form is:

23376 = 24 × 31 × 4871

Prime Factorization of 23393

Prime factors of 23393 are 149, 157. Prime factorization of 23393 in exponential form is:

23393 = 1491 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 23376 and 23393.

LCM(23376,23393) = 24 × 31 × 4871 × 1491 × 1571
LCM(23376,23393) = 546834768