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What is the Least Common Multiple of 46183 and 46187?

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 46183 and 46187 is 2133054221.

LCM(46183,46187) = 2133054221

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Least Common Multiple of 46183 and 46187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46183 and 46187, than apply into the LCM equation.

GCF(46183,46187) = 1
LCM(46183,46187) = ( 46183 × 46187) / 1
LCM(46183,46187) = 2133054221 / 1
LCM(46183,46187) = 2133054221

Least Common Multiple (LCM) of 46183 and 46187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46183 and 46187. First we will calculate the prime factors of 46183 and 46187.

Prime Factorization of 46183

Prime factors of 46183 are 46183. Prime factorization of 46183 in exponential form is:

46183 = 461831

Prime Factorization of 46187

Prime factors of 46187 are 46187. Prime factorization of 46187 in exponential form is:

46187 = 461871

Now multiplying the highest exponent prime factors to calculate the LCM of 46183 and 46187.

LCM(46183,46187) = 461831 × 461871
LCM(46183,46187) = 2133054221