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What is the Least Common Multiple of 29858 and 29869?

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 29858 and 29869 is 891828602.

LCM(29858,29869) = 891828602

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Least Common Multiple of 29858 and 29869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29858 and 29869, than apply into the LCM equation.

GCF(29858,29869) = 1
LCM(29858,29869) = ( 29858 × 29869) / 1
LCM(29858,29869) = 891828602 / 1
LCM(29858,29869) = 891828602

Least Common Multiple (LCM) of 29858 and 29869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29858 and 29869. First we will calculate the prime factors of 29858 and 29869.

Prime Factorization of 29858

Prime factors of 29858 are 2, 14929. Prime factorization of 29858 in exponential form is:

29858 = 21 × 149291

Prime Factorization of 29869

Prime factors of 29869 are 7, 17, 251. Prime factorization of 29869 in exponential form is:

29869 = 71 × 171 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 29858 and 29869.

LCM(29858,29869) = 21 × 149291 × 71 × 171 × 2511
LCM(29858,29869) = 891828602