What is the Least Common Multiple of 64391 and 64401?
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 64391 and 64401 is 4146844791.
LCM(64391,64401) = 4146844791
Least Common Multiple of 64391 and 64401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64391 and 64401, than apply into the LCM equation.
GCF(64391,64401) = 1
LCM(64391,64401) = ( 64391 × 64401) / 1
LCM(64391,64401) = 4146844791 / 1
LCM(64391,64401) = 4146844791
Least Common Multiple (LCM) of 64391 and 64401 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64391 and 64401. First we will calculate the prime factors of 64391 and 64401.
Prime Factorization of 64391
Prime factors of 64391 are 19, 3389. Prime factorization of 64391 in exponential form is:
64391 = 191 × 33891
Prime Factorization of 64401
Prime factors of 64401 are 3, 21467. Prime factorization of 64401 in exponential form is:
64401 = 31 × 214671
Now multiplying the highest exponent prime factors to calculate the LCM of 64391 and 64401.
LCM(64391,64401) = 191 × 33891 × 31 × 214671
LCM(64391,64401) = 4146844791
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