What is the Least Common Multiple of 26211 and 26223?
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 26211 and 26223 is 229110351.
LCM(26211,26223) = 229110351
Least Common Multiple of 26211 and 26223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26211 and 26223, than apply into the LCM equation.
GCF(26211,26223) = 3
LCM(26211,26223) = ( 26211 × 26223) / 3
LCM(26211,26223) = 687331053 / 3
LCM(26211,26223) = 229110351
Least Common Multiple (LCM) of 26211 and 26223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26211 and 26223. First we will calculate the prime factors of 26211 and 26223.
Prime Factorization of 26211
Prime factors of 26211 are 3, 8737. Prime factorization of 26211 in exponential form is:
26211 = 31 × 87371
Prime Factorization of 26223
Prime factors of 26223 are 3, 8741. Prime factorization of 26223 in exponential form is:
26223 = 31 × 87411
Now multiplying the highest exponent prime factors to calculate the LCM of 26211 and 26223.
LCM(26211,26223) = 31 × 87371 × 87411
LCM(26211,26223) = 229110351
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