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What is the Least Common Multiple of 22081 and 22087?

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 22081 and 22087 is 487703047.

LCM(22081,22087) = 487703047

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Least Common Multiple of 22081 and 22087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22081 and 22087, than apply into the LCM equation.

GCF(22081,22087) = 1
LCM(22081,22087) = ( 22081 × 22087) / 1
LCM(22081,22087) = 487703047 / 1
LCM(22081,22087) = 487703047

Least Common Multiple (LCM) of 22081 and 22087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22081 and 22087. First we will calculate the prime factors of 22081 and 22087.

Prime Factorization of 22081

Prime factors of 22081 are 71, 311. Prime factorization of 22081 in exponential form is:

22081 = 711 × 3111

Prime Factorization of 22087

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

22087 = 131 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 22081 and 22087.

LCM(22081,22087) = 711 × 3111 × 131 × 16991
LCM(22081,22087) = 487703047