What is the Least Common Multiple of 64733 and 64743?
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 64733 and 64743 is 4191008619.
LCM(64733,64743) = 4191008619
Least Common Multiple of 64733 and 64743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64733 and 64743, than apply into the LCM equation.
GCF(64733,64743) = 1
LCM(64733,64743) = ( 64733 × 64743) / 1
LCM(64733,64743) = 4191008619 / 1
LCM(64733,64743) = 4191008619
Least Common Multiple (LCM) of 64733 and 64743 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64733 and 64743. First we will calculate the prime factors of 64733 and 64743.
Prime Factorization of 64733
Prime factors of 64733 are 19, 3407. Prime factorization of 64733 in exponential form is:
64733 = 191 × 34071
Prime Factorization of 64743
Prime factors of 64743 are 3, 7, 3083. Prime factorization of 64743 in exponential form is:
64743 = 31 × 71 × 30831
Now multiplying the highest exponent prime factors to calculate the LCM of 64733 and 64743.
LCM(64733,64743) = 191 × 34071 × 31 × 71 × 30831
LCM(64733,64743) = 4191008619
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