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What is the Least Common Multiple of 26333 and 26350?

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 26333 and 26350 is 40816150.

LCM(26333,26350) = 40816150

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Least Common Multiple of 26333 and 26350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26333 and 26350, than apply into the LCM equation.

GCF(26333,26350) = 17
LCM(26333,26350) = ( 26333 × 26350) / 17
LCM(26333,26350) = 693874550 / 17
LCM(26333,26350) = 40816150

Least Common Multiple (LCM) of 26333 and 26350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26333 and 26350. First we will calculate the prime factors of 26333 and 26350.

Prime Factorization of 26333

Prime factors of 26333 are 17, 1549. Prime factorization of 26333 in exponential form is:

26333 = 171 × 15491

Prime Factorization of 26350

Prime factors of 26350 are 2, 5, 17, 31. Prime factorization of 26350 in exponential form is:

26350 = 21 × 52 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 26333 and 26350.

LCM(26333,26350) = 171 × 15491 × 21 × 52 × 311
LCM(26333,26350) = 40816150