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What is the Least Common Multiple of 24373 and 24379?

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 24373 and 24379 is 594189367.

LCM(24373,24379) = 594189367

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Least Common Multiple of 24373 and 24379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24373 and 24379, than apply into the LCM equation.

GCF(24373,24379) = 1
LCM(24373,24379) = ( 24373 × 24379) / 1
LCM(24373,24379) = 594189367 / 1
LCM(24373,24379) = 594189367

Least Common Multiple (LCM) of 24373 and 24379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24373 and 24379. First we will calculate the prime factors of 24373 and 24379.

Prime Factorization of 24373

Prime factors of 24373 are 24373. Prime factorization of 24373 in exponential form is:

24373 = 243731

Prime Factorization of 24379

Prime factors of 24379 are 24379. Prime factorization of 24379 in exponential form is:

24379 = 243791

Now multiplying the highest exponent prime factors to calculate the LCM of 24373 and 24379.

LCM(24373,24379) = 243731 × 243791
LCM(24373,24379) = 594189367