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What is the Least Common Multiple of 69195 and 69201?

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 69195 and 69201 is 1596121065.

LCM(69195,69201) = 1596121065

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Least Common Multiple of 69195 and 69201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69195 and 69201, than apply into the LCM equation.

GCF(69195,69201) = 3
LCM(69195,69201) = ( 69195 × 69201) / 3
LCM(69195,69201) = 4788363195 / 3
LCM(69195,69201) = 1596121065

Least Common Multiple (LCM) of 69195 and 69201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69195 and 69201. First we will calculate the prime factors of 69195 and 69201.

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

Prime Factorization of 69201

Prime factors of 69201 are 3, 11, 233. Prime factorization of 69201 in exponential form is:

69201 = 33 × 111 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 69195 and 69201.

LCM(69195,69201) = 33 × 51 × 71 × 6591 × 111 × 2331
LCM(69195,69201) = 1596121065