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What is the Least Common Multiple of 69038 and 69044?

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 69038 and 69044 is 2383329836.

LCM(69038,69044) = 2383329836

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Least Common Multiple of 69038 and 69044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69038 and 69044, than apply into the LCM equation.

GCF(69038,69044) = 2
LCM(69038,69044) = ( 69038 × 69044) / 2
LCM(69038,69044) = 4766659672 / 2
LCM(69038,69044) = 2383329836

Least Common Multiple (LCM) of 69038 and 69044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69038 and 69044. First we will calculate the prime factors of 69038 and 69044.

Prime Factorization of 69038

Prime factors of 69038 are 2, 34519. Prime factorization of 69038 in exponential form is:

69038 = 21 × 345191

Prime Factorization of 69044

Prime factors of 69044 are 2, 41, 421. Prime factorization of 69044 in exponential form is:

69044 = 22 × 411 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 69038 and 69044.

LCM(69038,69044) = 22 × 345191 × 411 × 4211
LCM(69038,69044) = 2383329836