What is the Least Common Multiple of 46279 and 46286?
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 46279 and 46286 is 2142069794.
LCM(46279,46286) = 2142069794
Least Common Multiple of 46279 and 46286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46279 and 46286, than apply into the LCM equation.
GCF(46279,46286) = 1
LCM(46279,46286) = ( 46279 × 46286) / 1
LCM(46279,46286) = 2142069794 / 1
LCM(46279,46286) = 2142069794
Least Common Multiple (LCM) of 46279 and 46286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46279 and 46286. First we will calculate the prime factors of 46279 and 46286.
Prime Factorization of 46279
Prime factors of 46279 are 46279. Prime factorization of 46279 in exponential form is:
46279 = 462791
Prime Factorization of 46286
Prime factors of 46286 are 2, 23143. Prime factorization of 46286 in exponential form is:
46286 = 21 × 231431
Now multiplying the highest exponent prime factors to calculate the LCM of 46279 and 46286.
LCM(46279,46286) = 462791 × 21 × 231431
LCM(46279,46286) = 2142069794
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