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What is the Least Common Multiple of 46104 and 46123?

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 46104 and 46123 is 2126454792.

LCM(46104,46123) = 2126454792

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Least Common Multiple of 46104 and 46123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46104 and 46123, than apply into the LCM equation.

GCF(46104,46123) = 1
LCM(46104,46123) = ( 46104 × 46123) / 1
LCM(46104,46123) = 2126454792 / 1
LCM(46104,46123) = 2126454792

Least Common Multiple (LCM) of 46104 and 46123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46104 and 46123. First we will calculate the prime factors of 46104 and 46123.

Prime Factorization of 46104

Prime factors of 46104 are 2, 3, 17, 113. Prime factorization of 46104 in exponential form is:

46104 = 23 × 31 × 171 × 1131

Prime Factorization of 46123

Prime factors of 46123 are 7, 11, 599. Prime factorization of 46123 in exponential form is:

46123 = 71 × 111 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 46104 and 46123.

LCM(46104,46123) = 23 × 31 × 171 × 1131 × 71 × 111 × 5991
LCM(46104,46123) = 2126454792