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What is the Least Common Multiple of 26195 and 26201?

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 26195 and 26201 is 686335195.

LCM(26195,26201) = 686335195

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Least Common Multiple of 26195 and 26201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26195 and 26201, than apply into the LCM equation.

GCF(26195,26201) = 1
LCM(26195,26201) = ( 26195 × 26201) / 1
LCM(26195,26201) = 686335195 / 1
LCM(26195,26201) = 686335195

Least Common Multiple (LCM) of 26195 and 26201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26195 and 26201. First we will calculate the prime factors of 26195 and 26201.

Prime Factorization of 26195

Prime factors of 26195 are 5, 13, 31. Prime factorization of 26195 in exponential form is:

26195 = 51 × 132 × 311

Prime Factorization of 26201

Prime factors of 26201 are 7, 19, 197. Prime factorization of 26201 in exponential form is:

26201 = 71 × 191 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 26195 and 26201.

LCM(26195,26201) = 51 × 132 × 311 × 71 × 191 × 1971
LCM(26195,26201) = 686335195