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What is the Least Common Multiple of 46088 and 46105?

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 46088 and 46105 is 2124887240.

LCM(46088,46105) = 2124887240

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Least Common Multiple of 46088 and 46105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46088 and 46105, than apply into the LCM equation.

GCF(46088,46105) = 1
LCM(46088,46105) = ( 46088 × 46105) / 1
LCM(46088,46105) = 2124887240 / 1
LCM(46088,46105) = 2124887240

Least Common Multiple (LCM) of 46088 and 46105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46088 and 46105. First we will calculate the prime factors of 46088 and 46105.

Prime Factorization of 46088

Prime factors of 46088 are 2, 7, 823. Prime factorization of 46088 in exponential form is:

46088 = 23 × 71 × 8231

Prime Factorization of 46105

Prime factors of 46105 are 5, 9221. Prime factorization of 46105 in exponential form is:

46105 = 51 × 92211

Now multiplying the highest exponent prime factors to calculate the LCM of 46088 and 46105.

LCM(46088,46105) = 23 × 71 × 8231 × 51 × 92211
LCM(46088,46105) = 2124887240