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What is the Least Common Multiple of 13083 and 13088?

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 13083 and 13088 is 171230304.

LCM(13083,13088) = 171230304

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Least Common Multiple of 13083 and 13088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13083 and 13088, than apply into the LCM equation.

GCF(13083,13088) = 1
LCM(13083,13088) = ( 13083 × 13088) / 1
LCM(13083,13088) = 171230304 / 1
LCM(13083,13088) = 171230304

Least Common Multiple (LCM) of 13083 and 13088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13083 and 13088. First we will calculate the prime factors of 13083 and 13088.

Prime Factorization of 13083

Prime factors of 13083 are 3, 7, 89. Prime factorization of 13083 in exponential form is:

13083 = 31 × 72 × 891

Prime Factorization of 13088

Prime factors of 13088 are 2, 409. Prime factorization of 13088 in exponential form is:

13088 = 25 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 13083 and 13088.

LCM(13083,13088) = 31 × 72 × 891 × 25 × 4091
LCM(13083,13088) = 171230304