What is the Least Common Multiple of 64333 and 64344?
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 64333 and 64344 is 4139442552.
LCM(64333,64344) = 4139442552
Least Common Multiple of 64333 and 64344 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64333 and 64344, than apply into the LCM equation.
GCF(64333,64344) = 1
LCM(64333,64344) = ( 64333 × 64344) / 1
LCM(64333,64344) = 4139442552 / 1
LCM(64333,64344) = 4139442552
Least Common Multiple (LCM) of 64333 and 64344 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64333 and 64344. First we will calculate the prime factors of 64333 and 64344.
Prime Factorization of 64333
Prime factors of 64333 are 64333. Prime factorization of 64333 in exponential form is:
64333 = 643331
Prime Factorization of 64344
Prime factors of 64344 are 2, 3, 7, 383. Prime factorization of 64344 in exponential form is:
64344 = 23 × 31 × 71 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 64333 and 64344.
LCM(64333,64344) = 643331 × 23 × 31 × 71 × 3831
LCM(64333,64344) = 4139442552
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