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What is the Least Common Multiple of 22087 and 22099?

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 22099 is 488100613.

LCM(22087,22099) = 488100613

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Least Common Multiple of 22087 and 22099 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 22099, than apply into the LCM equation.

GCF(22087,22099) = 1
LCM(22087,22099) = ( 22087 × 22099) / 1
LCM(22087,22099) = 488100613 / 1
LCM(22087,22099) = 488100613

Least Common Multiple (LCM) of 22087 and 22099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22087 and 22099. First we will calculate the prime factors of 22087 and 22099.

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 22099

Prime factors of 22099 are 7, 11, 41. Prime factorization of 22099 in exponential form is:

22099 = 72 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 22087 and 22099.

LCM(22087,22099) = 131 × 16991 × 72 × 111 × 411
LCM(22087,22099) = 488100613