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What is the Least Common Multiple of 26869 and 26888?

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 26869 and 26888 is 722453672.

LCM(26869,26888) = 722453672

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Least Common Multiple of 26869 and 26888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26869 and 26888, than apply into the LCM equation.

GCF(26869,26888) = 1
LCM(26869,26888) = ( 26869 × 26888) / 1
LCM(26869,26888) = 722453672 / 1
LCM(26869,26888) = 722453672

Least Common Multiple (LCM) of 26869 and 26888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26869 and 26888. First we will calculate the prime factors of 26869 and 26888.

Prime Factorization of 26869

Prime factors of 26869 are 97, 277. Prime factorization of 26869 in exponential form is:

26869 = 971 × 2771

Prime Factorization of 26888

Prime factors of 26888 are 2, 3361. Prime factorization of 26888 in exponential form is:

26888 = 23 × 33611

Now multiplying the highest exponent prime factors to calculate the LCM of 26869 and 26888.

LCM(26869,26888) = 971 × 2771 × 23 × 33611
LCM(26869,26888) = 722453672