What is the Least Common Multiple of 46139 and 46149?
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 46139 and 46149 is 2129268711.
LCM(46139,46149) = 2129268711
Least Common Multiple of 46139 and 46149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46139 and 46149, than apply into the LCM equation.
GCF(46139,46149) = 1
LCM(46139,46149) = ( 46139 × 46149) / 1
LCM(46139,46149) = 2129268711 / 1
LCM(46139,46149) = 2129268711
Least Common Multiple (LCM) of 46139 and 46149 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46139 and 46149. First we will calculate the prime factors of 46139 and 46149.
Prime Factorization of 46139
Prime factors of 46139 are 29, 37, 43. Prime factorization of 46139 in exponential form is:
46139 = 291 × 371 × 431
Prime Factorization of 46149
Prime factors of 46149 are 3, 15383. Prime factorization of 46149 in exponential form is:
46149 = 31 × 153831
Now multiplying the highest exponent prime factors to calculate the LCM of 46139 and 46149.
LCM(46139,46149) = 291 × 371 × 431 × 31 × 153831
LCM(46139,46149) = 2129268711
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