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What is the Least Common Multiple of 13095 and 13105?

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 13095 and 13105 is 34321995.

LCM(13095,13105) = 34321995

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Least Common Multiple of 13095 and 13105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13095 and 13105, than apply into the LCM equation.

GCF(13095,13105) = 5
LCM(13095,13105) = ( 13095 × 13105) / 5
LCM(13095,13105) = 171609975 / 5
LCM(13095,13105) = 34321995

Least Common Multiple (LCM) of 13095 and 13105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13095 and 13105. First we will calculate the prime factors of 13095 and 13105.

Prime Factorization of 13095

Prime factors of 13095 are 3, 5, 97. Prime factorization of 13095 in exponential form is:

13095 = 33 × 51 × 971

Prime Factorization of 13105

Prime factors of 13105 are 5, 2621. Prime factorization of 13105 in exponential form is:

13105 = 51 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 13095 and 13105.

LCM(13095,13105) = 33 × 51 × 971 × 26211
LCM(13095,13105) = 34321995