What is the Least Common Multiple of 46136 and 46155?
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 46136 and 46155 is 2129407080.
LCM(46136,46155) = 2129407080
Least Common Multiple of 46136 and 46155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46136 and 46155, than apply into the LCM equation.
GCF(46136,46155) = 1
LCM(46136,46155) = ( 46136 × 46155) / 1
LCM(46136,46155) = 2129407080 / 1
LCM(46136,46155) = 2129407080
Least Common Multiple (LCM) of 46136 and 46155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46136 and 46155. First we will calculate the prime factors of 46136 and 46155.
Prime Factorization of 46136
Prime factors of 46136 are 2, 73, 79. Prime factorization of 46136 in exponential form is:
46136 = 23 × 731 × 791
Prime Factorization of 46155
Prime factors of 46155 are 3, 5, 17, 181. Prime factorization of 46155 in exponential form is:
46155 = 31 × 51 × 171 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 46136 and 46155.
LCM(46136,46155) = 23 × 731 × 791 × 31 × 51 × 171 × 1811
LCM(46136,46155) = 2129407080
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