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What is the Least Common Multiple of 22187 and 22201?

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 22187 and 22201 is 492573587.

LCM(22187,22201) = 492573587

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Least Common Multiple of 22187 and 22201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22187 and 22201, than apply into the LCM equation.

GCF(22187,22201) = 1
LCM(22187,22201) = ( 22187 × 22201) / 1
LCM(22187,22201) = 492573587 / 1
LCM(22187,22201) = 492573587

Least Common Multiple (LCM) of 22187 and 22201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22187 and 22201. First we will calculate the prime factors of 22187 and 22201.

Prime Factorization of 22187

Prime factors of 22187 are 11, 2017. Prime factorization of 22187 in exponential form is:

22187 = 111 × 20171

Prime Factorization of 22201

Prime factors of 22201 are 149. Prime factorization of 22201 in exponential form is:

22201 = 1492

Now multiplying the highest exponent prime factors to calculate the LCM of 22187 and 22201.

LCM(22187,22201) = 111 × 20171 × 1492
LCM(22187,22201) = 492573587