What is the Least Common Multiple of 26587 and 26594?
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 26587 and 26594 is 707054678.
LCM(26587,26594) = 707054678
Least Common Multiple of 26587 and 26594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26587 and 26594, than apply into the LCM equation.
GCF(26587,26594) = 1
LCM(26587,26594) = ( 26587 × 26594) / 1
LCM(26587,26594) = 707054678 / 1
LCM(26587,26594) = 707054678
Least Common Multiple (LCM) of 26587 and 26594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26587 and 26594. First we will calculate the prime factors of 26587 and 26594.
Prime Factorization of 26587
Prime factors of 26587 are 11, 2417. Prime factorization of 26587 in exponential form is:
26587 = 111 × 24171
Prime Factorization of 26594
Prime factors of 26594 are 2, 13297. Prime factorization of 26594 in exponential form is:
26594 = 21 × 132971
Now multiplying the highest exponent prime factors to calculate the LCM of 26587 and 26594.
LCM(26587,26594) = 111 × 24171 × 21 × 132971
LCM(26587,26594) = 707054678
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