What is the Least Common Multiple of 26323 and 26331?
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 26323 and 26331 is 693110913.
LCM(26323,26331) = 693110913
Least Common Multiple of 26323 and 26331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26323 and 26331, than apply into the LCM equation.
GCF(26323,26331) = 1
LCM(26323,26331) = ( 26323 × 26331) / 1
LCM(26323,26331) = 693110913 / 1
LCM(26323,26331) = 693110913
Least Common Multiple (LCM) of 26323 and 26331 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26323 and 26331. First we will calculate the prime factors of 26323 and 26331.
Prime Factorization of 26323
Prime factors of 26323 are 11, 2393. Prime factorization of 26323 in exponential form is:
26323 = 111 × 23931
Prime Factorization of 26331
Prime factors of 26331 are 3, 67, 131. Prime factorization of 26331 in exponential form is:
26331 = 31 × 671 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 26323 and 26331.
LCM(26323,26331) = 111 × 23931 × 31 × 671 × 1311
LCM(26323,26331) = 693110913
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