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What is the Least Common Multiple of 64099 and 64105?

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 64099 and 64105 is 4109066395.

LCM(64099,64105) = 4109066395

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Least Common Multiple of 64099 and 64105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64099 and 64105, than apply into the LCM equation.

GCF(64099,64105) = 1
LCM(64099,64105) = ( 64099 × 64105) / 1
LCM(64099,64105) = 4109066395 / 1
LCM(64099,64105) = 4109066395

Least Common Multiple (LCM) of 64099 and 64105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64099 and 64105. First we will calculate the prime factors of 64099 and 64105.

Prime Factorization of 64099

Prime factors of 64099 are 7, 9157. Prime factorization of 64099 in exponential form is:

64099 = 71 × 91571

Prime Factorization of 64105

Prime factors of 64105 are 5, 12821. Prime factorization of 64105 in exponential form is:

64105 = 51 × 128211

Now multiplying the highest exponent prime factors to calculate the LCM of 64099 and 64105.

LCM(64099,64105) = 71 × 91571 × 51 × 128211
LCM(64099,64105) = 4109066395