What is the Least Common Multiple of 46837 and 46855?
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 46837 and 46855 is 2194547635.
LCM(46837,46855) = 2194547635
Least Common Multiple of 46837 and 46855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46837 and 46855, than apply into the LCM equation.
GCF(46837,46855) = 1
LCM(46837,46855) = ( 46837 × 46855) / 1
LCM(46837,46855) = 2194547635 / 1
LCM(46837,46855) = 2194547635
Least Common Multiple (LCM) of 46837 and 46855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46837 and 46855. First we will calculate the prime factors of 46837 and 46855.
Prime Factorization of 46837
Prime factors of 46837 are 7, 6691. Prime factorization of 46837 in exponential form is:
46837 = 71 × 66911
Prime Factorization of 46855
Prime factors of 46855 are 5, 9371. Prime factorization of 46855 in exponential form is:
46855 = 51 × 93711
Now multiplying the highest exponent prime factors to calculate the LCM of 46837 and 46855.
LCM(46837,46855) = 71 × 66911 × 51 × 93711
LCM(46837,46855) = 2194547635
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