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What is the Least Common Multiple of 26695 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 26695 and 26705 is 142577995.

LCM(26695,26705) = 142577995

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Least Common Multiple of 26695 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 26695 and 26705, than apply into the LCM equation.

GCF(26695,26705) = 5
LCM(26695,26705) = ( 26695 × 26705) / 5
LCM(26695,26705) = 712889975 / 5
LCM(26695,26705) = 142577995

Least Common Multiple (LCM) of 26695 and 26705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26695 and 26705. First we will calculate the prime factors of 26695 and 26705.

Prime Factorization of 26695

Prime factors of 26695 are 5, 19, 281. Prime factorization of 26695 in exponential form is:

26695 = 51 × 191 × 2811

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 26695 and 26705.

LCM(26695,26705) = 51 × 191 × 2811 × 72 × 1091
LCM(26695,26705) = 142577995