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What is the Least Common Multiple of 69195 and 69212?

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 69212 is 4789124340.

LCM(69195,69212) = 4789124340

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Least Common Multiple of 69195 and 69212 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 69212, than apply into the LCM equation.

GCF(69195,69212) = 1
LCM(69195,69212) = ( 69195 × 69212) / 1
LCM(69195,69212) = 4789124340 / 1
LCM(69195,69212) = 4789124340

Least Common Multiple (LCM) of 69195 and 69212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69195 and 69212. First we will calculate the prime factors of 69195 and 69212.

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 69212

Prime factors of 69212 are 2, 11, 13. Prime factorization of 69212 in exponential form is:

69212 = 22 × 113 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 69195 and 69212.

LCM(69195,69212) = 31 × 51 × 71 × 6591 × 22 × 113 × 131
LCM(69195,69212) = 4789124340