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What is the Least Common Multiple of 46069 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 46069 and 46073 is 2122537037.

LCM(46069,46073) = 2122537037

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Least Common Multiple of 46069 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 46069 and 46073, than apply into the LCM equation.

GCF(46069,46073) = 1
LCM(46069,46073) = ( 46069 × 46073) / 1
LCM(46069,46073) = 2122537037 / 1
LCM(46069,46073) = 2122537037

Least Common Multiple (LCM) of 46069 and 46073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46069 and 46073. First we will calculate the prime factors of 46069 and 46073.

Prime Factorization of 46069

Prime factors of 46069 are 23, 2003. Prime factorization of 46069 in exponential form is:

46069 = 231 × 20031

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 46069 and 46073.

LCM(46069,46073) = 231 × 20031 × 460731
LCM(46069,46073) = 2122537037