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What is the Least Common Multiple of 26284 and 26301?

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 26284 and 26301 is 691295484.

LCM(26284,26301) = 691295484

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Least Common Multiple of 26284 and 26301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26284 and 26301, than apply into the LCM equation.

GCF(26284,26301) = 1
LCM(26284,26301) = ( 26284 × 26301) / 1
LCM(26284,26301) = 691295484 / 1
LCM(26284,26301) = 691295484

Least Common Multiple (LCM) of 26284 and 26301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26284 and 26301. First we will calculate the prime factors of 26284 and 26301.

Prime Factorization of 26284

Prime factors of 26284 are 2, 6571. Prime factorization of 26284 in exponential form is:

26284 = 22 × 65711

Prime Factorization of 26301

Prime factors of 26301 are 3, 11, 797. Prime factorization of 26301 in exponential form is:

26301 = 31 × 111 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 26284 and 26301.

LCM(26284,26301) = 22 × 65711 × 31 × 111 × 7971
LCM(26284,26301) = 691295484