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What is the Least Common Multiple of 7850 and 7862?

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 7850 and 7862 is 30858350.

LCM(7850,7862) = 30858350

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Least Common Multiple of 7850 and 7862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7850 and 7862, than apply into the LCM equation.

GCF(7850,7862) = 2
LCM(7850,7862) = ( 7850 × 7862) / 2
LCM(7850,7862) = 61716700 / 2
LCM(7850,7862) = 30858350

Least Common Multiple (LCM) of 7850 and 7862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7850 and 7862. First we will calculate the prime factors of 7850 and 7862.

Prime Factorization of 7850

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

7850 = 21 × 52 × 1571

Prime Factorization of 7862

Prime factors of 7862 are 2, 3931. Prime factorization of 7862 in exponential form is:

7862 = 21 × 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 7850 and 7862.

LCM(7850,7862) = 21 × 52 × 1571 × 39311
LCM(7850,7862) = 30858350