What is the Least Common Multiple of 46149 and 46167?
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 46149 and 46167 is 710186961.
LCM(46149,46167) = 710186961
Least Common Multiple of 46149 and 46167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46149 and 46167, than apply into the LCM equation.
GCF(46149,46167) = 3
LCM(46149,46167) = ( 46149 × 46167) / 3
LCM(46149,46167) = 2130560883 / 3
LCM(46149,46167) = 710186961
Least Common Multiple (LCM) of 46149 and 46167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46149 and 46167. First we will calculate the prime factors of 46149 and 46167.
Prime Factorization of 46149
Prime factors of 46149 are 3, 15383. Prime factorization of 46149 in exponential form is:
46149 = 31 × 153831
Prime Factorization of 46167
Prime factors of 46167 are 3, 11, 1399. Prime factorization of 46167 in exponential form is:
46167 = 31 × 111 × 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 46149 and 46167.
LCM(46149,46167) = 31 × 153831 × 111 × 13991
LCM(46149,46167) = 710186961
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