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What is the Least Common Multiple of 22187 and 22204?

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 22204 is 492640148.

LCM(22187,22204) = 492640148

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Least Common Multiple of 22187 and 22204 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 22204, than apply into the LCM equation.

GCF(22187,22204) = 1
LCM(22187,22204) = ( 22187 × 22204) / 1
LCM(22187,22204) = 492640148 / 1
LCM(22187,22204) = 492640148

Least Common Multiple (LCM) of 22187 and 22204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22187 and 22204. First we will calculate the prime factors of 22187 and 22204.

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 22204

Prime factors of 22204 are 2, 7, 13, 61. Prime factorization of 22204 in exponential form is:

22204 = 22 × 71 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 22187 and 22204.

LCM(22187,22204) = 111 × 20171 × 22 × 71 × 131 × 611
LCM(22187,22204) = 492640148