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What is the Least Common Multiple of 95818 and 95828?

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 95828 is 4591023652.

LCM(95818,95828) = 4591023652

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Least Common Multiple of 95818 and 95828 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 95828, than apply into the LCM equation.

GCF(95818,95828) = 2
LCM(95818,95828) = ( 95818 × 95828) / 2
LCM(95818,95828) = 9182047304 / 2
LCM(95818,95828) = 4591023652

Least Common Multiple (LCM) of 95818 and 95828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95818 and 95828. First we will calculate the prime factors of 95818 and 95828.

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 95828

Prime factors of 95828 are 2, 23957. Prime factorization of 95828 in exponential form is:

95828 = 22 × 239571

Now multiplying the highest exponent prime factors to calculate the LCM of 95818 and 95828.

LCM(95818,95828) = 22 × 231 × 20831 × 239571
LCM(95818,95828) = 4591023652