What is the Least Common Multiple of 46171 and 46181?
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 46171 and 46181 is 2132222951.
LCM(46171,46181) = 2132222951
Least Common Multiple of 46171 and 46181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46171 and 46181, than apply into the LCM equation.
GCF(46171,46181) = 1
LCM(46171,46181) = ( 46171 × 46181) / 1
LCM(46171,46181) = 2132222951 / 1
LCM(46171,46181) = 2132222951
Least Common Multiple (LCM) of 46171 and 46181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46171 and 46181. First we will calculate the prime factors of 46171 and 46181.
Prime Factorization of 46171
Prime factors of 46171 are 46171. Prime factorization of 46171 in exponential form is:
46171 = 461711
Prime Factorization of 46181
Prime factors of 46181 are 46181. Prime factorization of 46181 in exponential form is:
46181 = 461811
Now multiplying the highest exponent prime factors to calculate the LCM of 46171 and 46181.
LCM(46171,46181) = 461711 × 461811
LCM(46171,46181) = 2132222951
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