What is the Least Common Multiple of 46141 and 46161?
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 46141 and 46161 is 2129914701.
LCM(46141,46161) = 2129914701
Least Common Multiple of 46141 and 46161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46141 and 46161, than apply into the LCM equation.
GCF(46141,46161) = 1
LCM(46141,46161) = ( 46141 × 46161) / 1
LCM(46141,46161) = 2129914701 / 1
LCM(46141,46161) = 2129914701
Least Common Multiple (LCM) of 46141 and 46161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46141 and 46161. First we will calculate the prime factors of 46141 and 46161.
Prime Factorization of 46141
Prime factors of 46141 are 46141. Prime factorization of 46141 in exponential form is:
46141 = 461411
Prime Factorization of 46161
Prime factors of 46161 are 3, 23, 223. Prime factorization of 46161 in exponential form is:
46161 = 32 × 231 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 46141 and 46161.
LCM(46141,46161) = 461411 × 32 × 231 × 2231
LCM(46141,46161) = 2129914701
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