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What is the Least Common Multiple of 46045 and 46064?

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 46064 is 2121016880.

LCM(46045,46064) = 2121016880

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Least Common Multiple of 46045 and 46064 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 46064, than apply into the LCM equation.

GCF(46045,46064) = 1
LCM(46045,46064) = ( 46045 × 46064) / 1
LCM(46045,46064) = 2121016880 / 1
LCM(46045,46064) = 2121016880

Least Common Multiple (LCM) of 46045 and 46064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46045 and 46064. First we will calculate the prime factors of 46045 and 46064.

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 46064

Prime factors of 46064 are 2, 2879. Prime factorization of 46064 in exponential form is:

46064 = 24 × 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 46045 and 46064.

LCM(46045,46064) = 51 × 92091 × 24 × 28791
LCM(46045,46064) = 2121016880