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What is the Least Common Multiple of 26332 and 26344?

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 26332 and 26344 is 173422552.

LCM(26332,26344) = 173422552

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Least Common Multiple of 26332 and 26344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26332 and 26344, than apply into the LCM equation.

GCF(26332,26344) = 4
LCM(26332,26344) = ( 26332 × 26344) / 4
LCM(26332,26344) = 693690208 / 4
LCM(26332,26344) = 173422552

Least Common Multiple (LCM) of 26332 and 26344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26332 and 26344. First we will calculate the prime factors of 26332 and 26344.

Prime Factorization of 26332

Prime factors of 26332 are 2, 29, 227. Prime factorization of 26332 in exponential form is:

26332 = 22 × 291 × 2271

Prime Factorization of 26344

Prime factors of 26344 are 2, 37, 89. Prime factorization of 26344 in exponential form is:

26344 = 23 × 371 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 26332 and 26344.

LCM(26332,26344) = 23 × 291 × 2271 × 371 × 891
LCM(26332,26344) = 173422552