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What is the Least Common Multiple of 29817 and 29822?

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 29817 and 29822 is 889202574.

LCM(29817,29822) = 889202574

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Least Common Multiple of 29817 and 29822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29817 and 29822, than apply into the LCM equation.

GCF(29817,29822) = 1
LCM(29817,29822) = ( 29817 × 29822) / 1
LCM(29817,29822) = 889202574 / 1
LCM(29817,29822) = 889202574

Least Common Multiple (LCM) of 29817 and 29822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29817 and 29822. First we will calculate the prime factors of 29817 and 29822.

Prime Factorization of 29817

Prime factors of 29817 are 3, 3313. Prime factorization of 29817 in exponential form is:

29817 = 32 × 33131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 29817 and 29822.

LCM(29817,29822) = 32 × 33131 × 21 × 131 × 311 × 371
LCM(29817,29822) = 889202574