What is the Least Common Multiple of 46045 and 46062?
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 46045 and 46062 is 2120924790.
LCM(46045,46062) = 2120924790
Least Common Multiple of 46045 and 46062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46045 and 46062, than apply into the LCM equation.
GCF(46045,46062) = 1
LCM(46045,46062) = ( 46045 × 46062) / 1
LCM(46045,46062) = 2120924790 / 1
LCM(46045,46062) = 2120924790
Least Common Multiple (LCM) of 46045 and 46062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46045 and 46062. First we will calculate the prime factors of 46045 and 46062.
Prime Factorization of 46045
Prime factors of 46045 are 5, 9209. Prime factorization of 46045 in exponential form is:
46045 = 51 × 92091
Prime Factorization of 46062
Prime factors of 46062 are 2, 3, 853. Prime factorization of 46062 in exponential form is:
46062 = 21 × 33 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 46045 and 46062.
LCM(46045,46062) = 51 × 92091 × 21 × 33 × 8531
LCM(46045,46062) = 2120924790
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