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What is the Least Common Multiple of 43127 and 43139?

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 43127 and 43139 is 1860455653.

LCM(43127,43139) = 1860455653

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Least Common Multiple of 43127 and 43139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43127 and 43139, than apply into the LCM equation.

GCF(43127,43139) = 1
LCM(43127,43139) = ( 43127 × 43139) / 1
LCM(43127,43139) = 1860455653 / 1
LCM(43127,43139) = 1860455653

Least Common Multiple (LCM) of 43127 and 43139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43127 and 43139. First we will calculate the prime factors of 43127 and 43139.

Prime Factorization of 43127

Prime factors of 43127 are 7, 61, 101. Prime factorization of 43127 in exponential form is:

43127 = 71 × 611 × 1011

Prime Factorization of 43139

Prime factors of 43139 are 179, 241. Prime factorization of 43139 in exponential form is:

43139 = 1791 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 43127 and 43139.

LCM(43127,43139) = 71 × 611 × 1011 × 1791 × 2411
LCM(43127,43139) = 1860455653