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What is the Least Common Multiple of 29887 and 29902?

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 29887 and 29902 is 893681074.

LCM(29887,29902) = 893681074

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Least Common Multiple of 29887 and 29902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29887 and 29902, than apply into the LCM equation.

GCF(29887,29902) = 1
LCM(29887,29902) = ( 29887 × 29902) / 1
LCM(29887,29902) = 893681074 / 1
LCM(29887,29902) = 893681074

Least Common Multiple (LCM) of 29887 and 29902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29887 and 29902. First we will calculate the prime factors of 29887 and 29902.

Prime Factorization of 29887

Prime factors of 29887 are 11, 13, 19. Prime factorization of 29887 in exponential form is:

29887 = 112 × 131 × 191

Prime Factorization of 29902

Prime factors of 29902 are 2, 14951. Prime factorization of 29902 in exponential form is:

29902 = 21 × 149511

Now multiplying the highest exponent prime factors to calculate the LCM of 29887 and 29902.

LCM(29887,29902) = 112 × 131 × 191 × 21 × 149511
LCM(29887,29902) = 893681074