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What is the Least Common Multiple of 69034 and 69038?

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 69034 and 69038 is 2382984646.

LCM(69034,69038) = 2382984646

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Least Common Multiple of 69034 and 69038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69034 and 69038, than apply into the LCM equation.

GCF(69034,69038) = 2
LCM(69034,69038) = ( 69034 × 69038) / 2
LCM(69034,69038) = 4765969292 / 2
LCM(69034,69038) = 2382984646

Least Common Multiple (LCM) of 69034 and 69038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69034 and 69038. First we will calculate the prime factors of 69034 and 69038.

Prime Factorization of 69034

Prime factors of 69034 are 2, 7, 4931. Prime factorization of 69034 in exponential form is:

69034 = 21 × 71 × 49311

Prime Factorization of 69038

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

69038 = 21 × 345191

Now multiplying the highest exponent prime factors to calculate the LCM of 69034 and 69038.

LCM(69034,69038) = 21 × 71 × 49311 × 345191
LCM(69034,69038) = 2382984646