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What is the Least Common Multiple of 13069 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 13069 and 13080 is 170942520.

LCM(13069,13080) = 170942520

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Least Common Multiple of 13069 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 13069 and 13080, than apply into the LCM equation.

GCF(13069,13080) = 1
LCM(13069,13080) = ( 13069 × 13080) / 1
LCM(13069,13080) = 170942520 / 1
LCM(13069,13080) = 170942520

Least Common Multiple (LCM) of 13069 and 13080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13069 and 13080. First we will calculate the prime factors of 13069 and 13080.

Prime Factorization of 13069

Prime factors of 13069 are 7, 1867. Prime factorization of 13069 in exponential form is:

13069 = 71 × 18671

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 13069 and 13080.

LCM(13069,13080) = 71 × 18671 × 23 × 31 × 51 × 1091
LCM(13069,13080) = 170942520