What is the Least Common Multiple of 46067 and 46073?
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 46073 is 2122444891.
LCM(46067,46073) = 2122444891
Least Common Multiple of 46067 and 46073 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 46073, than apply into the LCM equation.
GCF(46067,46073) = 1
LCM(46067,46073) = ( 46067 × 46073) / 1
LCM(46067,46073) = 2122444891 / 1
LCM(46067,46073) = 2122444891
Least Common Multiple (LCM) of 46067 and 46073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46067 and 46073. First we will calculate the prime factors of 46067 and 46073.
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 46073
Prime factors of 46073 are 46073. Prime factorization of 46073 in exponential form is:
46073 = 460731
Now multiplying the highest exponent prime factors to calculate the LCM of 46067 and 46073.
LCM(46067,46073) = 71 × 65811 × 460731
LCM(46067,46073) = 2122444891
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