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What is the Least Common Multiple of 23087 and 23093?

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 23093 is 533148091.

LCM(23087,23093) = 533148091

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Least Common Multiple of 23087 and 23093 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 23093, than apply into the LCM equation.

GCF(23087,23093) = 1
LCM(23087,23093) = ( 23087 × 23093) / 1
LCM(23087,23093) = 533148091 / 1
LCM(23087,23093) = 533148091

Least Common Multiple (LCM) of 23087 and 23093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23087 and 23093. First we will calculate the prime factors of 23087 and 23093.

Prime Factorization of 23087

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

23087 = 230871

Prime Factorization of 23093

Prime factors of 23093 are 7, 3299. Prime factorization of 23093 in exponential form is:

23093 = 71 × 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 23087 and 23093.

LCM(23087,23093) = 230871 × 71 × 32991
LCM(23087,23093) = 533148091