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What is the Least Common Multiple of 69160 and 69173?

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 69160 and 69173 is 368000360.

LCM(69160,69173) = 368000360

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Least Common Multiple of 69160 and 69173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69160 and 69173, than apply into the LCM equation.

GCF(69160,69173) = 13
LCM(69160,69173) = ( 69160 × 69173) / 13
LCM(69160,69173) = 4784004680 / 13
LCM(69160,69173) = 368000360

Least Common Multiple (LCM) of 69160 and 69173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69160 and 69173. First we will calculate the prime factors of 69160 and 69173.

Prime Factorization of 69160

Prime factors of 69160 are 2, 5, 7, 13, 19. Prime factorization of 69160 in exponential form is:

69160 = 23 × 51 × 71 × 131 × 191

Prime Factorization of 69173

Prime factors of 69173 are 13, 17, 313. Prime factorization of 69173 in exponential form is:

69173 = 131 × 171 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 69160 and 69173.

LCM(69160,69173) = 23 × 51 × 71 × 131 × 191 × 171 × 3131
LCM(69160,69173) = 368000360