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What is the Least Common Multiple of 26033 and 26040?

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 26033 and 26040 is 96842760.

LCM(26033,26040) = 96842760

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Least Common Multiple of 26033 and 26040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26033 and 26040, than apply into the LCM equation.

GCF(26033,26040) = 7
LCM(26033,26040) = ( 26033 × 26040) / 7
LCM(26033,26040) = 677899320 / 7
LCM(26033,26040) = 96842760

Least Common Multiple (LCM) of 26033 and 26040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26033 and 26040. First we will calculate the prime factors of 26033 and 26040.

Prime Factorization of 26033

Prime factors of 26033 are 7, 3719. Prime factorization of 26033 in exponential form is:

26033 = 71 × 37191

Prime Factorization of 26040

Prime factors of 26040 are 2, 3, 5, 7, 31. Prime factorization of 26040 in exponential form is:

26040 = 23 × 31 × 51 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 26033 and 26040.

LCM(26033,26040) = 71 × 37191 × 23 × 31 × 51 × 311
LCM(26033,26040) = 96842760