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What is the Least Common Multiple of 22087 and 22095?

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 22087 and 22095 is 488012265.

LCM(22087,22095) = 488012265

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Least Common Multiple of 22087 and 22095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22087 and 22095, than apply into the LCM equation.

GCF(22087,22095) = 1
LCM(22087,22095) = ( 22087 × 22095) / 1
LCM(22087,22095) = 488012265 / 1
LCM(22087,22095) = 488012265

Least Common Multiple (LCM) of 22087 and 22095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22087 and 22095. First we will calculate the prime factors of 22087 and 22095.

Prime Factorization of 22087

Prime factors of 22087 are 13, 1699. Prime factorization of 22087 in exponential form is:

22087 = 131 × 16991

Prime Factorization of 22095

Prime factors of 22095 are 3, 5, 491. Prime factorization of 22095 in exponential form is:

22095 = 32 × 51 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 22087 and 22095.

LCM(22087,22095) = 131 × 16991 × 32 × 51 × 4911
LCM(22087,22095) = 488012265