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What is the Least Common Multiple of 95830 and 95838?

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 95830 and 95838 is 4592077770.

LCM(95830,95838) = 4592077770

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Least Common Multiple of 95830 and 95838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95830 and 95838, than apply into the LCM equation.

GCF(95830,95838) = 2
LCM(95830,95838) = ( 95830 × 95838) / 2
LCM(95830,95838) = 9184155540 / 2
LCM(95830,95838) = 4592077770

Least Common Multiple (LCM) of 95830 and 95838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95830 and 95838. First we will calculate the prime factors of 95830 and 95838.

Prime Factorization of 95830

Prime factors of 95830 are 2, 5, 7, 37. Prime factorization of 95830 in exponential form is:

95830 = 21 × 51 × 71 × 372

Prime Factorization of 95838

Prime factors of 95838 are 2, 3, 15973. Prime factorization of 95838 in exponential form is:

95838 = 21 × 31 × 159731

Now multiplying the highest exponent prime factors to calculate the LCM of 95830 and 95838.

LCM(95830,95838) = 21 × 51 × 71 × 372 × 31 × 159731
LCM(95830,95838) = 4592077770