What is the Least Common Multiple of 64283 and 64299?
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 64283 and 64299 is 4133332617.
LCM(64283,64299) = 4133332617
Least Common Multiple of 64283 and 64299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64283 and 64299, than apply into the LCM equation.
GCF(64283,64299) = 1
LCM(64283,64299) = ( 64283 × 64299) / 1
LCM(64283,64299) = 4133332617 / 1
LCM(64283,64299) = 4133332617
Least Common Multiple (LCM) of 64283 and 64299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64283 and 64299. First we will calculate the prime factors of 64283 and 64299.
Prime Factorization of 64283
Prime factors of 64283 are 64283. Prime factorization of 64283 in exponential form is:
64283 = 642831
Prime Factorization of 64299
Prime factors of 64299 are 3, 21433. Prime factorization of 64299 in exponential form is:
64299 = 31 × 214331
Now multiplying the highest exponent prime factors to calculate the LCM of 64283 and 64299.
LCM(64283,64299) = 642831 × 31 × 214331
LCM(64283,64299) = 4133332617
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