What is the Least Common Multiple of 46067 and 46071?
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 46067 and 46071 is 2122352757.
LCM(46067,46071) = 2122352757
Least Common Multiple of 46067 and 46071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46067 and 46071, than apply into the LCM equation.
GCF(46067,46071) = 1
LCM(46067,46071) = ( 46067 × 46071) / 1
LCM(46067,46071) = 2122352757 / 1
LCM(46067,46071) = 2122352757
Least Common Multiple (LCM) of 46067 and 46071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46067 and 46071. First we will calculate the prime factors of 46067 and 46071.
Prime Factorization of 46067
Prime factors of 46067 are 7, 6581. Prime factorization of 46067 in exponential form is:
46067 = 71 × 65811
Prime Factorization of 46071
Prime factors of 46071 are 3, 5119. Prime factorization of 46071 in exponential form is:
46071 = 32 × 51191
Now multiplying the highest exponent prime factors to calculate the LCM of 46067 and 46071.
LCM(46067,46071) = 71 × 65811 × 32 × 51191
LCM(46067,46071) = 2122352757
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