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What is the Least Common Multiple of 23063 and 23073?

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 23063 and 23073 is 532132599.

LCM(23063,23073) = 532132599

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Least Common Multiple of 23063 and 23073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23063 and 23073, than apply into the LCM equation.

GCF(23063,23073) = 1
LCM(23063,23073) = ( 23063 × 23073) / 1
LCM(23063,23073) = 532132599 / 1
LCM(23063,23073) = 532132599

Least Common Multiple (LCM) of 23063 and 23073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23063 and 23073. First we will calculate the prime factors of 23063 and 23073.

Prime Factorization of 23063

Prime factors of 23063 are 23063. Prime factorization of 23063 in exponential form is:

23063 = 230631

Prime Factorization of 23073

Prime factors of 23073 are 3, 7691. Prime factorization of 23073 in exponential form is:

23073 = 31 × 76911

Now multiplying the highest exponent prime factors to calculate the LCM of 23063 and 23073.

LCM(23063,23073) = 230631 × 31 × 76911
LCM(23063,23073) = 532132599