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What is the Least Common Multiple of 46133 and 46145?

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 46133 and 46145 is 2128807285.

LCM(46133,46145) = 2128807285

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Least Common Multiple of 46133 and 46145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46133 and 46145, than apply into the LCM equation.

GCF(46133,46145) = 1
LCM(46133,46145) = ( 46133 × 46145) / 1
LCM(46133,46145) = 2128807285 / 1
LCM(46133,46145) = 2128807285

Least Common Multiple (LCM) of 46133 and 46145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46133 and 46145. First we will calculate the prime factors of 46133 and 46145.

Prime Factorization of 46133

Prime factors of 46133 are 46133. Prime factorization of 46133 in exponential form is:

46133 = 461331

Prime Factorization of 46145

Prime factors of 46145 are 5, 11, 839. Prime factorization of 46145 in exponential form is:

46145 = 51 × 111 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 46133 and 46145.

LCM(46133,46145) = 461331 × 51 × 111 × 8391
LCM(46133,46145) = 2128807285