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What is the Least Common Multiple of 22158 and 22163?

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 22158 and 22163 is 491087754.

LCM(22158,22163) = 491087754

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Least Common Multiple of 22158 and 22163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22158 and 22163, than apply into the LCM equation.

GCF(22158,22163) = 1
LCM(22158,22163) = ( 22158 × 22163) / 1
LCM(22158,22163) = 491087754 / 1
LCM(22158,22163) = 491087754

Least Common Multiple (LCM) of 22158 and 22163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22158 and 22163. First we will calculate the prime factors of 22158 and 22163.

Prime Factorization of 22158

Prime factors of 22158 are 2, 3, 1231. Prime factorization of 22158 in exponential form is:

22158 = 21 × 32 × 12311

Prime Factorization of 22163

Prime factors of 22163 are 37, 599. Prime factorization of 22163 in exponential form is:

22163 = 371 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 22158 and 22163.

LCM(22158,22163) = 21 × 32 × 12311 × 371 × 5991
LCM(22158,22163) = 491087754