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What is the Least Common Multiple of 26693 and 26705?

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 26693 and 26705 is 712836565.

LCM(26693,26705) = 712836565

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Least Common Multiple of 26693 and 26705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26693 and 26705, than apply into the LCM equation.

GCF(26693,26705) = 1
LCM(26693,26705) = ( 26693 × 26705) / 1
LCM(26693,26705) = 712836565 / 1
LCM(26693,26705) = 712836565

Least Common Multiple (LCM) of 26693 and 26705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26693 and 26705. First we will calculate the prime factors of 26693 and 26705.

Prime Factorization of 26693

Prime factors of 26693 are 26693. Prime factorization of 26693 in exponential form is:

26693 = 266931

Prime Factorization of 26705

Prime factors of 26705 are 5, 7, 109. Prime factorization of 26705 in exponential form is:

26705 = 51 × 72 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 26693 and 26705.

LCM(26693,26705) = 266931 × 51 × 72 × 1091
LCM(26693,26705) = 712836565