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What is the Least Common Multiple of 46187 and 46203?

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 46187 and 46203 is 2133977961.

LCM(46187,46203) = 2133977961

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Least Common Multiple of 46187 and 46203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46187 and 46203, than apply into the LCM equation.

GCF(46187,46203) = 1
LCM(46187,46203) = ( 46187 × 46203) / 1
LCM(46187,46203) = 2133977961 / 1
LCM(46187,46203) = 2133977961

Least Common Multiple (LCM) of 46187 and 46203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46187 and 46203. First we will calculate the prime factors of 46187 and 46203.

Prime Factorization of 46187

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

46187 = 461871

Prime Factorization of 46203

Prime factors of 46203 are 3, 15401. Prime factorization of 46203 in exponential form is:

46203 = 31 × 154011

Now multiplying the highest exponent prime factors to calculate the LCM of 46187 and 46203.

LCM(46187,46203) = 461871 × 31 × 154011
LCM(46187,46203) = 2133977961