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What is the Least Common Multiple of 38126 and 38139?

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 38126 and 38139 is 1454087514.

LCM(38126,38139) = 1454087514

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Least Common Multiple of 38126 and 38139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38126 and 38139, than apply into the LCM equation.

GCF(38126,38139) = 1
LCM(38126,38139) = ( 38126 × 38139) / 1
LCM(38126,38139) = 1454087514 / 1
LCM(38126,38139) = 1454087514

Least Common Multiple (LCM) of 38126 and 38139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38126 and 38139. First we will calculate the prime factors of 38126 and 38139.

Prime Factorization of 38126

Prime factors of 38126 are 2, 11, 1733. Prime factorization of 38126 in exponential form is:

38126 = 21 × 111 × 17331

Prime Factorization of 38139

Prime factors of 38139 are 3, 12713. Prime factorization of 38139 in exponential form is:

38139 = 31 × 127131

Now multiplying the highest exponent prime factors to calculate the LCM of 38126 and 38139.

LCM(38126,38139) = 21 × 111 × 17331 × 31 × 127131
LCM(38126,38139) = 1454087514