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What is the Least Common Multiple of 29822 and 29839?

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 29822 and 29839 is 889858658.

LCM(29822,29839) = 889858658

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Least Common Multiple of 29822 and 29839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29822 and 29839, than apply into the LCM equation.

GCF(29822,29839) = 1
LCM(29822,29839) = ( 29822 × 29839) / 1
LCM(29822,29839) = 889858658 / 1
LCM(29822,29839) = 889858658

Least Common Multiple (LCM) of 29822 and 29839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29822 and 29839. First we will calculate the prime factors of 29822 and 29839.

Prime Factorization of 29822

Prime factors of 29822 are 2, 13, 31, 37. Prime factorization of 29822 in exponential form is:

29822 = 21 × 131 × 311 × 371

Prime Factorization of 29839

Prime factors of 29839 are 53, 563. Prime factorization of 29839 in exponential form is:

29839 = 531 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 29822 and 29839.

LCM(29822,29839) = 21 × 131 × 311 × 371 × 531 × 5631
LCM(29822,29839) = 889858658