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What is the Least Common Multiple of 23767 and 23773?

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 23767 and 23773 is 565012891.

LCM(23767,23773) = 565012891

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Least Common Multiple of 23767 and 23773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23767 and 23773, than apply into the LCM equation.

GCF(23767,23773) = 1
LCM(23767,23773) = ( 23767 × 23773) / 1
LCM(23767,23773) = 565012891 / 1
LCM(23767,23773) = 565012891

Least Common Multiple (LCM) of 23767 and 23773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23767 and 23773. First we will calculate the prime factors of 23767 and 23773.

Prime Factorization of 23767

Prime factors of 23767 are 23767. Prime factorization of 23767 in exponential form is:

23767 = 237671

Prime Factorization of 23773

Prime factors of 23773 are 23773. Prime factorization of 23773 in exponential form is:

23773 = 237731

Now multiplying the highest exponent prime factors to calculate the LCM of 23767 and 23773.

LCM(23767,23773) = 237671 × 237731
LCM(23767,23773) = 565012891