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What is the Least Common Multiple of 13593 and 13607?

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 13593 and 13607 is 184959951.

LCM(13593,13607) = 184959951

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Least Common Multiple of 13593 and 13607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13593 and 13607, than apply into the LCM equation.

GCF(13593,13607) = 1
LCM(13593,13607) = ( 13593 × 13607) / 1
LCM(13593,13607) = 184959951 / 1
LCM(13593,13607) = 184959951

Least Common Multiple (LCM) of 13593 and 13607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13593 and 13607. First we will calculate the prime factors of 13593 and 13607.

Prime Factorization of 13593

Prime factors of 13593 are 3, 23, 197. Prime factorization of 13593 in exponential form is:

13593 = 31 × 231 × 1971

Prime Factorization of 13607

Prime factors of 13607 are 11, 1237. Prime factorization of 13607 in exponential form is:

13607 = 111 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 13593 and 13607.

LCM(13593,13607) = 31 × 231 × 1971 × 111 × 12371
LCM(13593,13607) = 184959951