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What is the Least Common Multiple of 55132 and 55139?

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 55132 and 55139 is 434274764.

LCM(55132,55139) = 434274764

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Least Common Multiple of 55132 and 55139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55132 and 55139, than apply into the LCM equation.

GCF(55132,55139) = 7
LCM(55132,55139) = ( 55132 × 55139) / 7
LCM(55132,55139) = 3039923348 / 7
LCM(55132,55139) = 434274764

Least Common Multiple (LCM) of 55132 and 55139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55132 and 55139. First we will calculate the prime factors of 55132 and 55139.

Prime Factorization of 55132

Prime factors of 55132 are 2, 7, 11, 179. Prime factorization of 55132 in exponential form is:

55132 = 22 × 71 × 111 × 1791

Prime Factorization of 55139

Prime factors of 55139 are 7, 7877. Prime factorization of 55139 in exponential form is:

55139 = 71 × 78771

Now multiplying the highest exponent prime factors to calculate the LCM of 55132 and 55139.

LCM(55132,55139) = 22 × 71 × 111 × 1791 × 78771
LCM(55132,55139) = 434274764