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What is the Least Common Multiple of 29853 and 29868?

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 29853 and 29868 is 297216468.

LCM(29853,29868) = 297216468

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Least Common Multiple of 29853 and 29868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29853 and 29868, than apply into the LCM equation.

GCF(29853,29868) = 3
LCM(29853,29868) = ( 29853 × 29868) / 3
LCM(29853,29868) = 891649404 / 3
LCM(29853,29868) = 297216468

Least Common Multiple (LCM) of 29853 and 29868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29853 and 29868. First we will calculate the prime factors of 29853 and 29868.

Prime Factorization of 29853

Prime factors of 29853 are 3, 31, 107. Prime factorization of 29853 in exponential form is:

29853 = 32 × 311 × 1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 29853 and 29868.

LCM(29853,29868) = 32 × 311 × 1071 × 22 × 191 × 1311
LCM(29853,29868) = 297216468