What is the Least Common Multiple of 46567 and 46573?
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 46567 and 46573 is 2168764891.
LCM(46567,46573) = 2168764891
Least Common Multiple of 46567 and 46573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46567 and 46573, than apply into the LCM equation.
GCF(46567,46573) = 1
LCM(46567,46573) = ( 46567 × 46573) / 1
LCM(46567,46573) = 2168764891 / 1
LCM(46567,46573) = 2168764891
Least Common Multiple (LCM) of 46567 and 46573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46567 and 46573. First we will calculate the prime factors of 46567 and 46573.
Prime Factorization of 46567
Prime factors of 46567 are 46567. Prime factorization of 46567 in exponential form is:
46567 = 465671
Prime Factorization of 46573
Prime factors of 46573 are 46573. Prime factorization of 46573 in exponential form is:
46573 = 465731
Now multiplying the highest exponent prime factors to calculate the LCM of 46567 and 46573.
LCM(46567,46573) = 465671 × 465731
LCM(46567,46573) = 2168764891
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