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What is the Least Common Multiple of 46040 and 46054?

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 46040 and 46054 is 1060163080.

LCM(46040,46054) = 1060163080

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Least Common Multiple of 46040 and 46054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46040 and 46054, than apply into the LCM equation.

GCF(46040,46054) = 2
LCM(46040,46054) = ( 46040 × 46054) / 2
LCM(46040,46054) = 2120326160 / 2
LCM(46040,46054) = 1060163080

Least Common Multiple (LCM) of 46040 and 46054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46040 and 46054. First we will calculate the prime factors of 46040 and 46054.

Prime Factorization of 46040

Prime factors of 46040 are 2, 5, 1151. Prime factorization of 46040 in exponential form is:

46040 = 23 × 51 × 11511

Prime Factorization of 46054

Prime factors of 46054 are 2, 23027. Prime factorization of 46054 in exponential form is:

46054 = 21 × 230271

Now multiplying the highest exponent prime factors to calculate the LCM of 46040 and 46054.

LCM(46040,46054) = 23 × 51 × 11511 × 230271
LCM(46040,46054) = 1060163080