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What is the Least Common Multiple of 58843 and 58850?

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 58843 and 58850 is 3462910550.

LCM(58843,58850) = 3462910550

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Least Common Multiple of 58843 and 58850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58843 and 58850, than apply into the LCM equation.

GCF(58843,58850) = 1
LCM(58843,58850) = ( 58843 × 58850) / 1
LCM(58843,58850) = 3462910550 / 1
LCM(58843,58850) = 3462910550

Least Common Multiple (LCM) of 58843 and 58850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58843 and 58850. First we will calculate the prime factors of 58843 and 58850.

Prime Factorization of 58843

Prime factors of 58843 are 19, 163. Prime factorization of 58843 in exponential form is:

58843 = 192 × 1631

Prime Factorization of 58850

Prime factors of 58850 are 2, 5, 11, 107. Prime factorization of 58850 in exponential form is:

58850 = 21 × 52 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 58843 and 58850.

LCM(58843,58850) = 192 × 1631 × 21 × 52 × 111 × 1071
LCM(58843,58850) = 3462910550