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What is the Least Common Multiple of 64096 and 64109?

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 64096 and 64109 is 4109130464.

LCM(64096,64109) = 4109130464

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Least Common Multiple of 64096 and 64109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64096 and 64109, than apply into the LCM equation.

GCF(64096,64109) = 1
LCM(64096,64109) = ( 64096 × 64109) / 1
LCM(64096,64109) = 4109130464 / 1
LCM(64096,64109) = 4109130464

Least Common Multiple (LCM) of 64096 and 64109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64096 and 64109. First we will calculate the prime factors of 64096 and 64109.

Prime Factorization of 64096

Prime factors of 64096 are 2, 2003. Prime factorization of 64096 in exponential form is:

64096 = 25 × 20031

Prime Factorization of 64109

Prime factors of 64109 are 64109. Prime factorization of 64109 in exponential form is:

64109 = 641091

Now multiplying the highest exponent prime factors to calculate the LCM of 64096 and 64109.

LCM(64096,64109) = 25 × 20031 × 641091
LCM(64096,64109) = 4109130464