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What is the Least Common Multiple of 26312 and 26317?

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 26312 and 26317 is 692452904.

LCM(26312,26317) = 692452904

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Least Common Multiple of 26312 and 26317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26312 and 26317, than apply into the LCM equation.

GCF(26312,26317) = 1
LCM(26312,26317) = ( 26312 × 26317) / 1
LCM(26312,26317) = 692452904 / 1
LCM(26312,26317) = 692452904

Least Common Multiple (LCM) of 26312 and 26317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26312 and 26317. First we will calculate the prime factors of 26312 and 26317.

Prime Factorization of 26312

Prime factors of 26312 are 2, 11, 13, 23. Prime factorization of 26312 in exponential form is:

26312 = 23 × 111 × 131 × 231

Prime Factorization of 26317

Prime factors of 26317 are 26317. Prime factorization of 26317 in exponential form is:

26317 = 263171

Now multiplying the highest exponent prime factors to calculate the LCM of 26312 and 26317.

LCM(26312,26317) = 23 × 111 × 131 × 231 × 263171
LCM(26312,26317) = 692452904