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What is the Least Common Multiple of 64335 and 64346?

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 64335 and 64346 is 4139699910.

LCM(64335,64346) = 4139699910

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Least Common Multiple of 64335 and 64346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64335 and 64346, than apply into the LCM equation.

GCF(64335,64346) = 1
LCM(64335,64346) = ( 64335 × 64346) / 1
LCM(64335,64346) = 4139699910 / 1
LCM(64335,64346) = 4139699910

Least Common Multiple (LCM) of 64335 and 64346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64335 and 64346. First we will calculate the prime factors of 64335 and 64346.

Prime Factorization of 64335

Prime factors of 64335 are 3, 5, 4289. Prime factorization of 64335 in exponential form is:

64335 = 31 × 51 × 42891

Prime Factorization of 64346

Prime factors of 64346 are 2, 32173. Prime factorization of 64346 in exponential form is:

64346 = 21 × 321731

Now multiplying the highest exponent prime factors to calculate the LCM of 64335 and 64346.

LCM(64335,64346) = 31 × 51 × 42891 × 21 × 321731
LCM(64335,64346) = 4139699910