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What is the Least Common Multiple of 54039 and 54050?

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 54039 and 54050 is 2920807950.

LCM(54039,54050) = 2920807950

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Least Common Multiple of 54039 and 54050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54039 and 54050, than apply into the LCM equation.

GCF(54039,54050) = 1
LCM(54039,54050) = ( 54039 × 54050) / 1
LCM(54039,54050) = 2920807950 / 1
LCM(54039,54050) = 2920807950

Least Common Multiple (LCM) of 54039 and 54050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54039 and 54050. First we will calculate the prime factors of 54039 and 54050.

Prime Factorization of 54039

Prime factors of 54039 are 3, 18013. Prime factorization of 54039 in exponential form is:

54039 = 31 × 180131

Prime Factorization of 54050

Prime factors of 54050 are 2, 5, 23, 47. Prime factorization of 54050 in exponential form is:

54050 = 21 × 52 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 54039 and 54050.

LCM(54039,54050) = 31 × 180131 × 21 × 52 × 231 × 471
LCM(54039,54050) = 2920807950