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What is the Least Common Multiple of 23373 and 23386?

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 23373 and 23386 is 546600978.

LCM(23373,23386) = 546600978

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Least Common Multiple of 23373 and 23386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23373 and 23386, than apply into the LCM equation.

GCF(23373,23386) = 1
LCM(23373,23386) = ( 23373 × 23386) / 1
LCM(23373,23386) = 546600978 / 1
LCM(23373,23386) = 546600978

Least Common Multiple (LCM) of 23373 and 23386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23373 and 23386. First we will calculate the prime factors of 23373 and 23386.

Prime Factorization of 23373

Prime factors of 23373 are 3, 7, 53. Prime factorization of 23373 in exponential form is:

23373 = 32 × 72 × 531

Prime Factorization of 23386

Prime factors of 23386 are 2, 11, 1063. Prime factorization of 23386 in exponential form is:

23386 = 21 × 111 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 23373 and 23386.

LCM(23373,23386) = 32 × 72 × 531 × 21 × 111 × 10631
LCM(23373,23386) = 546600978