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What is the Least Common Multiple of 95599 and 95605?

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 95599 and 95605 is 9139742395.

LCM(95599,95605) = 9139742395

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Least Common Multiple of 95599 and 95605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95599 and 95605, than apply into the LCM equation.

GCF(95599,95605) = 1
LCM(95599,95605) = ( 95599 × 95605) / 1
LCM(95599,95605) = 9139742395 / 1
LCM(95599,95605) = 9139742395

Least Common Multiple (LCM) of 95599 and 95605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95599 and 95605. First we will calculate the prime factors of 95599 and 95605.

Prime Factorization of 95599

Prime factors of 95599 are 7, 1951. Prime factorization of 95599 in exponential form is:

95599 = 72 × 19511

Prime Factorization of 95605

Prime factors of 95605 are 5, 19121. Prime factorization of 95605 in exponential form is:

95605 = 51 × 191211

Now multiplying the highest exponent prime factors to calculate the LCM of 95599 and 95605.

LCM(95599,95605) = 72 × 19511 × 51 × 191211
LCM(95599,95605) = 9139742395