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What is the Least Common Multiple of 69192 and 69204?

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 69192 and 69204 is 399030264.

LCM(69192,69204) = 399030264

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Least Common Multiple of 69192 and 69204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69192 and 69204, than apply into the LCM equation.

GCF(69192,69204) = 12
LCM(69192,69204) = ( 69192 × 69204) / 12
LCM(69192,69204) = 4788363168 / 12
LCM(69192,69204) = 399030264

Least Common Multiple (LCM) of 69192 and 69204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69192 and 69204. First we will calculate the prime factors of 69192 and 69204.

Prime Factorization of 69192

Prime factors of 69192 are 2, 3, 31. Prime factorization of 69192 in exponential form is:

69192 = 23 × 32 × 312

Prime Factorization of 69204

Prime factors of 69204 are 2, 3, 73, 79. Prime factorization of 69204 in exponential form is:

69204 = 22 × 31 × 731 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 69192 and 69204.

LCM(69192,69204) = 23 × 32 × 312 × 731 × 791
LCM(69192,69204) = 399030264