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What is the Least Common Multiple of 95818 and 95822?

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 95818 and 95822 is 4590736198.

LCM(95818,95822) = 4590736198

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Least Common Multiple of 95818 and 95822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95818 and 95822, than apply into the LCM equation.

GCF(95818,95822) = 2
LCM(95818,95822) = ( 95818 × 95822) / 2
LCM(95818,95822) = 9181472396 / 2
LCM(95818,95822) = 4590736198

Least Common Multiple (LCM) of 95818 and 95822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95818 and 95822. First we will calculate the prime factors of 95818 and 95822.

Prime Factorization of 95818

Prime factors of 95818 are 2, 23, 2083. Prime factorization of 95818 in exponential form is:

95818 = 21 × 231 × 20831

Prime Factorization of 95822

Prime factors of 95822 are 2, 47911. Prime factorization of 95822 in exponential form is:

95822 = 21 × 479111

Now multiplying the highest exponent prime factors to calculate the LCM of 95818 and 95822.

LCM(95818,95822) = 21 × 231 × 20831 × 479111
LCM(95818,95822) = 4590736198