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What is the Least Common Multiple of 23087 and 23097?

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 23087 and 23097 is 533240439.

LCM(23087,23097) = 533240439

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Least Common Multiple of 23087 and 23097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23087 and 23097, than apply into the LCM equation.

GCF(23087,23097) = 1
LCM(23087,23097) = ( 23087 × 23097) / 1
LCM(23087,23097) = 533240439 / 1
LCM(23087,23097) = 533240439

Least Common Multiple (LCM) of 23087 and 23097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23087 and 23097. First we will calculate the prime factors of 23087 and 23097.

Prime Factorization of 23087

Prime factors of 23087 are 23087. Prime factorization of 23087 in exponential form is:

23087 = 230871

Prime Factorization of 23097

Prime factors of 23097 are 3, 7699. Prime factorization of 23097 in exponential form is:

23097 = 31 × 76991

Now multiplying the highest exponent prime factors to calculate the LCM of 23087 and 23097.

LCM(23087,23097) = 230871 × 31 × 76991
LCM(23087,23097) = 533240439