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What is the Least Common Multiple of 7831 and 7850?

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 7831 and 7850 is 61473350.

LCM(7831,7850) = 61473350

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Least Common Multiple of 7831 and 7850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7831 and 7850, than apply into the LCM equation.

GCF(7831,7850) = 1
LCM(7831,7850) = ( 7831 × 7850) / 1
LCM(7831,7850) = 61473350 / 1
LCM(7831,7850) = 61473350

Least Common Multiple (LCM) of 7831 and 7850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7831 and 7850. First we will calculate the prime factors of 7831 and 7850.

Prime Factorization of 7831

Prime factors of 7831 are 41, 191. Prime factorization of 7831 in exponential form is:

7831 = 411 × 1911

Prime Factorization of 7850

Prime factors of 7850 are 2, 5, 157. Prime factorization of 7850 in exponential form is:

7850 = 21 × 52 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 7831 and 7850.

LCM(7831,7850) = 411 × 1911 × 21 × 52 × 1571
LCM(7831,7850) = 61473350