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What is the Least Common Multiple of 13073 and 13080?

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 13073 and 13080 is 170994840.

LCM(13073,13080) = 170994840

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Least Common Multiple of 13073 and 13080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13073 and 13080, than apply into the LCM equation.

GCF(13073,13080) = 1
LCM(13073,13080) = ( 13073 × 13080) / 1
LCM(13073,13080) = 170994840 / 1
LCM(13073,13080) = 170994840

Least Common Multiple (LCM) of 13073 and 13080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13073 and 13080. First we will calculate the prime factors of 13073 and 13080.

Prime Factorization of 13073

Prime factors of 13073 are 17, 769. Prime factorization of 13073 in exponential form is:

13073 = 171 × 7691

Prime Factorization of 13080

Prime factors of 13080 are 2, 3, 5, 109. Prime factorization of 13080 in exponential form is:

13080 = 23 × 31 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 13073 and 13080.

LCM(13073,13080) = 171 × 7691 × 23 × 31 × 51 × 1091
LCM(13073,13080) = 170994840