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What is the Least Common Multiple of 26678 and 26695?

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 26678 and 26695 is 712169210.

LCM(26678,26695) = 712169210

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Least Common Multiple of 26678 and 26695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26678 and 26695, than apply into the LCM equation.

GCF(26678,26695) = 1
LCM(26678,26695) = ( 26678 × 26695) / 1
LCM(26678,26695) = 712169210 / 1
LCM(26678,26695) = 712169210

Least Common Multiple (LCM) of 26678 and 26695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26678 and 26695. First we will calculate the prime factors of 26678 and 26695.

Prime Factorization of 26678

Prime factors of 26678 are 2, 13339. Prime factorization of 26678 in exponential form is:

26678 = 21 × 133391

Prime Factorization of 26695

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

26695 = 51 × 191 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 26678 and 26695.

LCM(26678,26695) = 21 × 133391 × 51 × 191 × 2811
LCM(26678,26695) = 712169210