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What is the Least Common Multiple of 64281 and 64293?

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 64281 and 64293 is 1377606111.

LCM(64281,64293) = 1377606111

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Least Common Multiple of 64281 and 64293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64281 and 64293, than apply into the LCM equation.

GCF(64281,64293) = 3
LCM(64281,64293) = ( 64281 × 64293) / 3
LCM(64281,64293) = 4132818333 / 3
LCM(64281,64293) = 1377606111

Least Common Multiple (LCM) of 64281 and 64293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64281 and 64293. First we will calculate the prime factors of 64281 and 64293.

Prime Factorization of 64281

Prime factors of 64281 are 3, 7, 3061. Prime factorization of 64281 in exponential form is:

64281 = 31 × 71 × 30611

Prime Factorization of 64293

Prime factors of 64293 are 3, 29, 739. Prime factorization of 64293 in exponential form is:

64293 = 31 × 291 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 64281 and 64293.

LCM(64281,64293) = 31 × 71 × 30611 × 291 × 7391
LCM(64281,64293) = 1377606111