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What is the Least Common Multiple of 30850 and 30859?

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 30850 and 30859 is 952000150.

LCM(30850,30859) = 952000150

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Least Common Multiple of 30850 and 30859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30850 and 30859, than apply into the LCM equation.

GCF(30850,30859) = 1
LCM(30850,30859) = ( 30850 × 30859) / 1
LCM(30850,30859) = 952000150 / 1
LCM(30850,30859) = 952000150

Least Common Multiple (LCM) of 30850 and 30859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30850 and 30859. First we will calculate the prime factors of 30850 and 30859.

Prime Factorization of 30850

Prime factors of 30850 are 2, 5, 617. Prime factorization of 30850 in exponential form is:

30850 = 21 × 52 × 6171

Prime Factorization of 30859

Prime factors of 30859 are 30859. Prime factorization of 30859 in exponential form is:

30859 = 308591

Now multiplying the highest exponent prime factors to calculate the LCM of 30850 and 30859.

LCM(30850,30859) = 21 × 52 × 6171 × 308591
LCM(30850,30859) = 952000150