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What is the Least Common Multiple of 23409 and 23427?

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 23409 and 23427 is 60933627.

LCM(23409,23427) = 60933627

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Least Common Multiple of 23409 and 23427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23409 and 23427, than apply into the LCM equation.

GCF(23409,23427) = 9
LCM(23409,23427) = ( 23409 × 23427) / 9
LCM(23409,23427) = 548402643 / 9
LCM(23409,23427) = 60933627

Least Common Multiple (LCM) of 23409 and 23427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23409 and 23427. First we will calculate the prime factors of 23409 and 23427.

Prime Factorization of 23409

Prime factors of 23409 are 3, 17. Prime factorization of 23409 in exponential form is:

23409 = 34 × 172

Prime Factorization of 23427

Prime factors of 23427 are 3, 19, 137. Prime factorization of 23427 in exponential form is:

23427 = 32 × 191 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 23409 and 23427.

LCM(23409,23427) = 34 × 172 × 191 × 1371
LCM(23409,23427) = 60933627