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What is the Least Common Multiple of 69291 and 69295?

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 69291 and 69295 is 4801519845.

LCM(69291,69295) = 4801519845

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Least Common Multiple of 69291 and 69295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69291 and 69295, than apply into the LCM equation.

GCF(69291,69295) = 1
LCM(69291,69295) = ( 69291 × 69295) / 1
LCM(69291,69295) = 4801519845 / 1
LCM(69291,69295) = 4801519845

Least Common Multiple (LCM) of 69291 and 69295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69291 and 69295. First we will calculate the prime factors of 69291 and 69295.

Prime Factorization of 69291

Prime factors of 69291 are 3, 7699. Prime factorization of 69291 in exponential form is:

69291 = 32 × 76991

Prime Factorization of 69295

Prime factors of 69295 are 5, 13859. Prime factorization of 69295 in exponential form is:

69295 = 51 × 138591

Now multiplying the highest exponent prime factors to calculate the LCM of 69291 and 69295.

LCM(69291,69295) = 32 × 76991 × 51 × 138591
LCM(69291,69295) = 4801519845