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What is the Least Common Multiple of 26328 and 26345?

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 26328 and 26345 is 693611160.

LCM(26328,26345) = 693611160

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Least Common Multiple of 26328 and 26345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26328 and 26345, than apply into the LCM equation.

GCF(26328,26345) = 1
LCM(26328,26345) = ( 26328 × 26345) / 1
LCM(26328,26345) = 693611160 / 1
LCM(26328,26345) = 693611160

Least Common Multiple (LCM) of 26328 and 26345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26328 and 26345. First we will calculate the prime factors of 26328 and 26345.

Prime Factorization of 26328

Prime factors of 26328 are 2, 3, 1097. Prime factorization of 26328 in exponential form is:

26328 = 23 × 31 × 10971

Prime Factorization of 26345

Prime factors of 26345 are 5, 11, 479. Prime factorization of 26345 in exponential form is:

26345 = 51 × 111 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 26328 and 26345.

LCM(26328,26345) = 23 × 31 × 10971 × 51 × 111 × 4791
LCM(26328,26345) = 693611160