What is the Least Common Multiple of 64263 and 64279?
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 64263 and 64279 is 4130761377.
LCM(64263,64279) = 4130761377
Least Common Multiple of 64263 and 64279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64263 and 64279, than apply into the LCM equation.
GCF(64263,64279) = 1
LCM(64263,64279) = ( 64263 × 64279) / 1
LCM(64263,64279) = 4130761377 / 1
LCM(64263,64279) = 4130761377
Least Common Multiple (LCM) of 64263 and 64279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64263 and 64279. First we will calculate the prime factors of 64263 and 64279.
Prime Factorization of 64263
Prime factors of 64263 are 3, 31, 691. Prime factorization of 64263 in exponential form is:
64263 = 31 × 311 × 6911
Prime Factorization of 64279
Prime factors of 64279 are 64279. Prime factorization of 64279 in exponential form is:
64279 = 642791
Now multiplying the highest exponent prime factors to calculate the LCM of 64263 and 64279.
LCM(64263,64279) = 31 × 311 × 6911 × 642791
LCM(64263,64279) = 4130761377
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