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What is the Least Common Multiple of 29831 and 29850?

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 29831 and 29850 is 890455350.

LCM(29831,29850) = 890455350

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Least Common Multiple of 29831 and 29850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29831 and 29850, than apply into the LCM equation.

GCF(29831,29850) = 1
LCM(29831,29850) = ( 29831 × 29850) / 1
LCM(29831,29850) = 890455350 / 1
LCM(29831,29850) = 890455350

Least Common Multiple (LCM) of 29831 and 29850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29831 and 29850. First we will calculate the prime factors of 29831 and 29850.

Prime Factorization of 29831

Prime factors of 29831 are 23, 1297. Prime factorization of 29831 in exponential form is:

29831 = 231 × 12971

Prime Factorization of 29850

Prime factors of 29850 are 2, 3, 5, 199. Prime factorization of 29850 in exponential form is:

29850 = 21 × 31 × 52 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 29831 and 29850.

LCM(29831,29850) = 231 × 12971 × 21 × 31 × 52 × 1991
LCM(29831,29850) = 890455350