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What is the Least Common Multiple of 26295 and 26300?

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 26295 and 26300 is 138311700.

LCM(26295,26300) = 138311700

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Least Common Multiple of 26295 and 26300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26295 and 26300, than apply into the LCM equation.

GCF(26295,26300) = 5
LCM(26295,26300) = ( 26295 × 26300) / 5
LCM(26295,26300) = 691558500 / 5
LCM(26295,26300) = 138311700

Least Common Multiple (LCM) of 26295 and 26300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26295 and 26300. First we will calculate the prime factors of 26295 and 26300.

Prime Factorization of 26295

Prime factors of 26295 are 3, 5, 1753. Prime factorization of 26295 in exponential form is:

26295 = 31 × 51 × 17531

Prime Factorization of 26300

Prime factors of 26300 are 2, 5, 263. Prime factorization of 26300 in exponential form is:

26300 = 22 × 52 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 26295 and 26300.

LCM(26295,26300) = 31 × 52 × 17531 × 22 × 2631
LCM(26295,26300) = 138311700