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What is the Least Common Multiple of 39361 and 39369?

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 39361 and 39369 is 1549603209.

LCM(39361,39369) = 1549603209

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Least Common Multiple of 39361 and 39369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39361 and 39369, than apply into the LCM equation.

GCF(39361,39369) = 1
LCM(39361,39369) = ( 39361 × 39369) / 1
LCM(39361,39369) = 1549603209 / 1
LCM(39361,39369) = 1549603209

Least Common Multiple (LCM) of 39361 and 39369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39361 and 39369. First we will calculate the prime factors of 39361 and 39369.

Prime Factorization of 39361

Prime factors of 39361 are 7, 5623. Prime factorization of 39361 in exponential form is:

39361 = 71 × 56231

Prime Factorization of 39369

Prime factors of 39369 are 3, 11, 1193. Prime factorization of 39369 in exponential form is:

39369 = 31 × 111 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 39361 and 39369.

LCM(39361,39369) = 71 × 56231 × 31 × 111 × 11931
LCM(39361,39369) = 1549603209