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What is the Least Common Multiple of 26314 and 26333?

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 26314 and 26333 is 692926562.

LCM(26314,26333) = 692926562

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Least Common Multiple of 26314 and 26333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26314 and 26333, than apply into the LCM equation.

GCF(26314,26333) = 1
LCM(26314,26333) = ( 26314 × 26333) / 1
LCM(26314,26333) = 692926562 / 1
LCM(26314,26333) = 692926562

Least Common Multiple (LCM) of 26314 and 26333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26314 and 26333. First we will calculate the prime factors of 26314 and 26333.

Prime Factorization of 26314

Prime factors of 26314 are 2, 59, 223. Prime factorization of 26314 in exponential form is:

26314 = 21 × 591 × 2231

Prime Factorization of 26333

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

26333 = 171 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 26314 and 26333.

LCM(26314,26333) = 21 × 591 × 2231 × 171 × 15491
LCM(26314,26333) = 692926562