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What is the Least Common Multiple of 29868 and 29878?

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 29868 and 29878 is 446198052.

LCM(29868,29878) = 446198052

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Least Common Multiple of 29868 and 29878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29868 and 29878, than apply into the LCM equation.

GCF(29868,29878) = 2
LCM(29868,29878) = ( 29868 × 29878) / 2
LCM(29868,29878) = 892396104 / 2
LCM(29868,29878) = 446198052

Least Common Multiple (LCM) of 29868 and 29878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29868 and 29878. First we will calculate the prime factors of 29868 and 29878.

Prime Factorization of 29868

Prime factors of 29868 are 2, 3, 19, 131. Prime factorization of 29868 in exponential form is:

29868 = 22 × 31 × 191 × 1311

Prime Factorization of 29878

Prime factors of 29878 are 2, 14939. Prime factorization of 29878 in exponential form is:

29878 = 21 × 149391

Now multiplying the highest exponent prime factors to calculate the LCM of 29868 and 29878.

LCM(29868,29878) = 22 × 31 × 191 × 1311 × 149391
LCM(29868,29878) = 446198052