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What is the Least Common Multiple of 69212 and 69229?

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 69212 and 69229 is 4791477548.

LCM(69212,69229) = 4791477548

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Least Common Multiple of 69212 and 69229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69212 and 69229, than apply into the LCM equation.

GCF(69212,69229) = 1
LCM(69212,69229) = ( 69212 × 69229) / 1
LCM(69212,69229) = 4791477548 / 1
LCM(69212,69229) = 4791477548

Least Common Multiple (LCM) of 69212 and 69229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69212 and 69229. First we will calculate the prime factors of 69212 and 69229.

Prime Factorization of 69212

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

69212 = 22 × 113 × 131

Prime Factorization of 69229

Prime factors of 69229 are 107, 647. Prime factorization of 69229 in exponential form is:

69229 = 1071 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 69212 and 69229.

LCM(69212,69229) = 22 × 113 × 131 × 1071 × 6471
LCM(69212,69229) = 4791477548