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What is the Least Common Multiple of 84837 and 84850?

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 84837 and 84850 is 7198419450.

LCM(84837,84850) = 7198419450

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Least Common Multiple of 84837 and 84850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84837 and 84850, than apply into the LCM equation.

GCF(84837,84850) = 1
LCM(84837,84850) = ( 84837 × 84850) / 1
LCM(84837,84850) = 7198419450 / 1
LCM(84837,84850) = 7198419450

Least Common Multiple (LCM) of 84837 and 84850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84837 and 84850. First we will calculate the prime factors of 84837 and 84850.

Prime Factorization of 84837

Prime factors of 84837 are 3, 28279. Prime factorization of 84837 in exponential form is:

84837 = 31 × 282791

Prime Factorization of 84850

Prime factors of 84850 are 2, 5, 1697. Prime factorization of 84850 in exponential form is:

84850 = 21 × 52 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 84837 and 84850.

LCM(84837,84850) = 31 × 282791 × 21 × 52 × 16971
LCM(84837,84850) = 7198419450