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What is the Least Common Multiple of 13063 and 13069?

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 13063 and 13069 is 170720347.

LCM(13063,13069) = 170720347

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Least Common Multiple of 13063 and 13069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13063 and 13069, than apply into the LCM equation.

GCF(13063,13069) = 1
LCM(13063,13069) = ( 13063 × 13069) / 1
LCM(13063,13069) = 170720347 / 1
LCM(13063,13069) = 170720347

Least Common Multiple (LCM) of 13063 and 13069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13063 and 13069. First we will calculate the prime factors of 13063 and 13069.

Prime Factorization of 13063

Prime factors of 13063 are 13063. Prime factorization of 13063 in exponential form is:

13063 = 130631

Prime Factorization of 13069

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

13069 = 71 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 13063 and 13069.

LCM(13063,13069) = 130631 × 71 × 18671
LCM(13063,13069) = 170720347