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What is the Least Common Multiple of 23015 and 23027?

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 23015 and 23027 is 529966405.

LCM(23015,23027) = 529966405

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Least Common Multiple of 23015 and 23027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23015 and 23027, than apply into the LCM equation.

GCF(23015,23027) = 1
LCM(23015,23027) = ( 23015 × 23027) / 1
LCM(23015,23027) = 529966405 / 1
LCM(23015,23027) = 529966405

Least Common Multiple (LCM) of 23015 and 23027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23015 and 23027. First we will calculate the prime factors of 23015 and 23027.

Prime Factorization of 23015

Prime factors of 23015 are 5, 4603. Prime factorization of 23015 in exponential form is:

23015 = 51 × 46031

Prime Factorization of 23027

Prime factors of 23027 are 23027. Prime factorization of 23027 in exponential form is:

23027 = 230271

Now multiplying the highest exponent prime factors to calculate the LCM of 23015 and 23027.

LCM(23015,23027) = 51 × 46031 × 230271
LCM(23015,23027) = 529966405