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What is the Least Common Multiple of 69284 and 69302?

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 69284 and 69302 is 2400759884.

LCM(69284,69302) = 2400759884

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Least Common Multiple of 69284 and 69302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69284 and 69302, than apply into the LCM equation.

GCF(69284,69302) = 2
LCM(69284,69302) = ( 69284 × 69302) / 2
LCM(69284,69302) = 4801519768 / 2
LCM(69284,69302) = 2400759884

Least Common Multiple (LCM) of 69284 and 69302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69284 and 69302. First we will calculate the prime factors of 69284 and 69302.

Prime Factorization of 69284

Prime factors of 69284 are 2, 17321. Prime factorization of 69284 in exponential form is:

69284 = 22 × 173211

Prime Factorization of 69302

Prime factors of 69302 are 2, 34651. Prime factorization of 69302 in exponential form is:

69302 = 21 × 346511

Now multiplying the highest exponent prime factors to calculate the LCM of 69284 and 69302.

LCM(69284,69302) = 22 × 173211 × 346511
LCM(69284,69302) = 2400759884