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What is the Least Common Multiple of 46127 and 46137?

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 46127 and 46137 is 2128161399.

LCM(46127,46137) = 2128161399

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Least Common Multiple of 46127 and 46137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46127 and 46137, than apply into the LCM equation.

GCF(46127,46137) = 1
LCM(46127,46137) = ( 46127 × 46137) / 1
LCM(46127,46137) = 2128161399 / 1
LCM(46127,46137) = 2128161399

Least Common Multiple (LCM) of 46127 and 46137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46127 and 46137. First we will calculate the prime factors of 46127 and 46137.

Prime Factorization of 46127

Prime factors of 46127 are 193, 239. Prime factorization of 46127 in exponential form is:

46127 = 1931 × 2391

Prime Factorization of 46137

Prime factors of 46137 are 3, 7, 13. Prime factorization of 46137 in exponential form is:

46137 = 31 × 71 × 133

Now multiplying the highest exponent prime factors to calculate the LCM of 46127 and 46137.

LCM(46127,46137) = 1931 × 2391 × 31 × 71 × 133
LCM(46127,46137) = 2128161399