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What is the Least Common Multiple of 46444 and 46460?

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 46444 and 46460 is 539447060.

LCM(46444,46460) = 539447060

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Least Common Multiple of 46444 and 46460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46444 and 46460, than apply into the LCM equation.

GCF(46444,46460) = 4
LCM(46444,46460) = ( 46444 × 46460) / 4
LCM(46444,46460) = 2157788240 / 4
LCM(46444,46460) = 539447060

Least Common Multiple (LCM) of 46444 and 46460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46444 and 46460. First we will calculate the prime factors of 46444 and 46460.

Prime Factorization of 46444

Prime factors of 46444 are 2, 17, 683. Prime factorization of 46444 in exponential form is:

46444 = 22 × 171 × 6831

Prime Factorization of 46460

Prime factors of 46460 are 2, 5, 23, 101. Prime factorization of 46460 in exponential form is:

46460 = 22 × 51 × 231 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 46444 and 46460.

LCM(46444,46460) = 22 × 171 × 6831 × 51 × 231 × 1011
LCM(46444,46460) = 539447060