What is the Least Common Multiple of 64331 and 64351?
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 64331 and 64351 is 4139764181.
LCM(64331,64351) = 4139764181
Least Common Multiple of 64331 and 64351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64331 and 64351, than apply into the LCM equation.
GCF(64331,64351) = 1
LCM(64331,64351) = ( 64331 × 64351) / 1
LCM(64331,64351) = 4139764181 / 1
LCM(64331,64351) = 4139764181
Least Common Multiple (LCM) of 64331 and 64351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64331 and 64351. First we will calculate the prime factors of 64331 and 64351.
Prime Factorization of 64331
Prime factors of 64331 are 23, 2797. Prime factorization of 64331 in exponential form is:
64331 = 231 × 27971
Prime Factorization of 64351
Prime factors of 64351 are 7, 29, 317. Prime factorization of 64351 in exponential form is:
64351 = 71 × 291 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 64331 and 64351.
LCM(64331,64351) = 231 × 27971 × 71 × 291 × 3171
LCM(64331,64351) = 4139764181
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