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What is the Least Common Multiple of 26449 and 26465?

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 26449 and 26465 is 699972785.

LCM(26449,26465) = 699972785

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Least Common Multiple of 26449 and 26465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26449 and 26465, than apply into the LCM equation.

GCF(26449,26465) = 1
LCM(26449,26465) = ( 26449 × 26465) / 1
LCM(26449,26465) = 699972785 / 1
LCM(26449,26465) = 699972785

Least Common Multiple (LCM) of 26449 and 26465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26449 and 26465. First we will calculate the prime factors of 26449 and 26465.

Prime Factorization of 26449

Prime factors of 26449 are 26449. Prime factorization of 26449 in exponential form is:

26449 = 264491

Prime Factorization of 26465

Prime factors of 26465 are 5, 67, 79. Prime factorization of 26465 in exponential form is:

26465 = 51 × 671 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 26449 and 26465.

LCM(26449,26465) = 264491 × 51 × 671 × 791
LCM(26449,26465) = 699972785