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What is the Least Common Multiple of 95818 and 95836?

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 95836 is 4591406924.

LCM(95818,95836) = 4591406924

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Least Common Multiple of 95818 and 95836 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 95836, than apply into the LCM equation.

GCF(95818,95836) = 2
LCM(95818,95836) = ( 95818 × 95836) / 2
LCM(95818,95836) = 9182813848 / 2
LCM(95818,95836) = 4591406924

Least Common Multiple (LCM) of 95818 and 95836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95818 and 95836. First we will calculate the prime factors of 95818 and 95836.

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 95836

Prime factors of 95836 are 2, 13, 19, 97. Prime factorization of 95836 in exponential form is:

95836 = 22 × 131 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 95818 and 95836.

LCM(95818,95836) = 22 × 231 × 20831 × 131 × 191 × 971
LCM(95818,95836) = 4591406924