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What is the Least Common Multiple of 69184 and 69195?

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 69184 and 69195 is 4787186880.

LCM(69184,69195) = 4787186880

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Least Common Multiple of 69184 and 69195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69184 and 69195, than apply into the LCM equation.

GCF(69184,69195) = 1
LCM(69184,69195) = ( 69184 × 69195) / 1
LCM(69184,69195) = 4787186880 / 1
LCM(69184,69195) = 4787186880

Least Common Multiple (LCM) of 69184 and 69195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69184 and 69195. First we will calculate the prime factors of 69184 and 69195.

Prime Factorization of 69184

Prime factors of 69184 are 2, 23, 47. Prime factorization of 69184 in exponential form is:

69184 = 26 × 231 × 471

Prime Factorization of 69195

Prime factors of 69195 are 3, 5, 7, 659. Prime factorization of 69195 in exponential form is:

69195 = 31 × 51 × 71 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 69184 and 69195.

LCM(69184,69195) = 26 × 231 × 471 × 31 × 51 × 71 × 6591
LCM(69184,69195) = 4787186880