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What is the Least Common Multiple of 29385 and 29398?

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 29385 and 29398 is 863860230.

LCM(29385,29398) = 863860230

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Least Common Multiple of 29385 and 29398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29385 and 29398, than apply into the LCM equation.

GCF(29385,29398) = 1
LCM(29385,29398) = ( 29385 × 29398) / 1
LCM(29385,29398) = 863860230 / 1
LCM(29385,29398) = 863860230

Least Common Multiple (LCM) of 29385 and 29398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29385 and 29398. First we will calculate the prime factors of 29385 and 29398.

Prime Factorization of 29385

Prime factors of 29385 are 3, 5, 653. Prime factorization of 29385 in exponential form is:

29385 = 32 × 51 × 6531

Prime Factorization of 29398

Prime factors of 29398 are 2, 14699. Prime factorization of 29398 in exponential form is:

29398 = 21 × 146991

Now multiplying the highest exponent prime factors to calculate the LCM of 29385 and 29398.

LCM(29385,29398) = 32 × 51 × 6531 × 21 × 146991
LCM(29385,29398) = 863860230