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What is the Least Common Multiple of 22373 and 22391?

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 22373 and 22391 is 500953843.

LCM(22373,22391) = 500953843

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Least Common Multiple of 22373 and 22391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22373 and 22391, than apply into the LCM equation.

GCF(22373,22391) = 1
LCM(22373,22391) = ( 22373 × 22391) / 1
LCM(22373,22391) = 500953843 / 1
LCM(22373,22391) = 500953843

Least Common Multiple (LCM) of 22373 and 22391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22373 and 22391. First we will calculate the prime factors of 22373 and 22391.

Prime Factorization of 22373

Prime factors of 22373 are 13, 1721. Prime factorization of 22373 in exponential form is:

22373 = 131 × 17211

Prime Factorization of 22391

Prime factors of 22391 are 22391. Prime factorization of 22391 in exponential form is:

22391 = 223911

Now multiplying the highest exponent prime factors to calculate the LCM of 22373 and 22391.

LCM(22373,22391) = 131 × 17211 × 223911
LCM(22373,22391) = 500953843