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What is the Least Common Multiple of 64328 and 64333?

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 64328 and 64333 is 4138413224.

LCM(64328,64333) = 4138413224

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Least Common Multiple of 64328 and 64333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64328 and 64333, than apply into the LCM equation.

GCF(64328,64333) = 1
LCM(64328,64333) = ( 64328 × 64333) / 1
LCM(64328,64333) = 4138413224 / 1
LCM(64328,64333) = 4138413224

Least Common Multiple (LCM) of 64328 and 64333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64328 and 64333. First we will calculate the prime factors of 64328 and 64333.

Prime Factorization of 64328

Prime factors of 64328 are 2, 11, 17, 43. Prime factorization of 64328 in exponential form is:

64328 = 23 × 111 × 171 × 431

Prime Factorization of 64333

Prime factors of 64333 are 64333. Prime factorization of 64333 in exponential form is:

64333 = 643331

Now multiplying the highest exponent prime factors to calculate the LCM of 64328 and 64333.

LCM(64328,64333) = 23 × 111 × 171 × 431 × 643331
LCM(64328,64333) = 4138413224