What is the Least Common Multiple of 46318 and 46337?
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 46318 and 46337 is 2146237166.
LCM(46318,46337) = 2146237166
Least Common Multiple of 46318 and 46337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46318 and 46337, than apply into the LCM equation.
GCF(46318,46337) = 1
LCM(46318,46337) = ( 46318 × 46337) / 1
LCM(46318,46337) = 2146237166 / 1
LCM(46318,46337) = 2146237166
Least Common Multiple (LCM) of 46318 and 46337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46318 and 46337. First we will calculate the prime factors of 46318 and 46337.
Prime Factorization of 46318
Prime factors of 46318 are 2, 23159. Prime factorization of 46318 in exponential form is:
46318 = 21 × 231591
Prime Factorization of 46337
Prime factors of 46337 are 46337. Prime factorization of 46337 in exponential form is:
46337 = 463371
Now multiplying the highest exponent prime factors to calculate the LCM of 46318 and 46337.
LCM(46318,46337) = 21 × 231591 × 463371
LCM(46318,46337) = 2146237166
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