What is the Least Common Multiple of 26338 and 26344?
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 26338 and 26344 is 346924136.
LCM(26338,26344) = 346924136
Least Common Multiple of 26338 and 26344 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26338 and 26344, than apply into the LCM equation.
GCF(26338,26344) = 2
LCM(26338,26344) = ( 26338 × 26344) / 2
LCM(26338,26344) = 693848272 / 2
LCM(26338,26344) = 346924136
Least Common Multiple (LCM) of 26338 and 26344 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26338 and 26344. First we will calculate the prime factors of 26338 and 26344.
Prime Factorization of 26338
Prime factors of 26338 are 2, 13, 1013. Prime factorization of 26338 in exponential form is:
26338 = 21 × 131 × 10131
Prime Factorization of 26344
Prime factors of 26344 are 2, 37, 89. Prime factorization of 26344 in exponential form is:
26344 = 23 × 371 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 26338 and 26344.
LCM(26338,26344) = 23 × 131 × 10131 × 371 × 891
LCM(26338,26344) = 346924136
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