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What is the Least Common Multiple of 64271 and 64281?

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 64271 and 64281 is 4131404151.

LCM(64271,64281) = 4131404151

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Least Common Multiple of 64271 and 64281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64271 and 64281, than apply into the LCM equation.

GCF(64271,64281) = 1
LCM(64271,64281) = ( 64271 × 64281) / 1
LCM(64271,64281) = 4131404151 / 1
LCM(64271,64281) = 4131404151

Least Common Multiple (LCM) of 64271 and 64281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64271 and 64281. First we will calculate the prime factors of 64271 and 64281.

Prime Factorization of 64271

Prime factors of 64271 are 64271. Prime factorization of 64271 in exponential form is:

64271 = 642711

Prime Factorization of 64281

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

64281 = 31 × 71 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 64271 and 64281.

LCM(64271,64281) = 642711 × 31 × 71 × 30611
LCM(64271,64281) = 4131404151