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What is the Least Common Multiple of 26133 and 26139?

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 26133 and 26139 is 227696829.

LCM(26133,26139) = 227696829

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Least Common Multiple of 26133 and 26139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26133 and 26139, than apply into the LCM equation.

GCF(26133,26139) = 3
LCM(26133,26139) = ( 26133 × 26139) / 3
LCM(26133,26139) = 683090487 / 3
LCM(26133,26139) = 227696829

Least Common Multiple (LCM) of 26133 and 26139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26133 and 26139. First we will calculate the prime factors of 26133 and 26139.

Prime Factorization of 26133

Prime factors of 26133 are 3, 31, 281. Prime factorization of 26133 in exponential form is:

26133 = 31 × 311 × 2811

Prime Factorization of 26139

Prime factors of 26139 are 3, 8713. Prime factorization of 26139 in exponential form is:

26139 = 31 × 87131

Now multiplying the highest exponent prime factors to calculate the LCM of 26133 and 26139.

LCM(26133,26139) = 31 × 311 × 2811 × 87131
LCM(26133,26139) = 227696829