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What is the Least Common Multiple of 29015 and 29026?

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 29015 and 29026 is 842189390.

LCM(29015,29026) = 842189390

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Least Common Multiple of 29015 and 29026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29015 and 29026, than apply into the LCM equation.

GCF(29015,29026) = 1
LCM(29015,29026) = ( 29015 × 29026) / 1
LCM(29015,29026) = 842189390 / 1
LCM(29015,29026) = 842189390

Least Common Multiple (LCM) of 29015 and 29026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29015 and 29026. First we will calculate the prime factors of 29015 and 29026.

Prime Factorization of 29015

Prime factors of 29015 are 5, 7, 829. Prime factorization of 29015 in exponential form is:

29015 = 51 × 71 × 8291

Prime Factorization of 29026

Prime factors of 29026 are 2, 23, 631. Prime factorization of 29026 in exponential form is:

29026 = 21 × 231 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 29015 and 29026.

LCM(29015,29026) = 51 × 71 × 8291 × 21 × 231 × 6311
LCM(29015,29026) = 842189390