What is the Least Common Multiple of 46327 and 46334?
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 46327 and 46334 is 2146515218.
LCM(46327,46334) = 2146515218
Least Common Multiple of 46327 and 46334 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46327 and 46334, than apply into the LCM equation.
GCF(46327,46334) = 1
LCM(46327,46334) = ( 46327 × 46334) / 1
LCM(46327,46334) = 2146515218 / 1
LCM(46327,46334) = 2146515218
Least Common Multiple (LCM) of 46327 and 46334 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46327 and 46334. First we will calculate the prime factors of 46327 and 46334.
Prime Factorization of 46327
Prime factors of 46327 are 46327. Prime factorization of 46327 in exponential form is:
46327 = 463271
Prime Factorization of 46334
Prime factors of 46334 are 2, 23167. Prime factorization of 46334 in exponential form is:
46334 = 21 × 231671
Now multiplying the highest exponent prime factors to calculate the LCM of 46327 and 46334.
LCM(46327,46334) = 463271 × 21 × 231671
LCM(46327,46334) = 2146515218
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