What is the Least Common Multiple of 26463 and 26479?
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 26463 and 26479 is 700713777.
LCM(26463,26479) = 700713777
Least Common Multiple of 26463 and 26479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26463 and 26479, than apply into the LCM equation.
GCF(26463,26479) = 1
LCM(26463,26479) = ( 26463 × 26479) / 1
LCM(26463,26479) = 700713777 / 1
LCM(26463,26479) = 700713777
Least Common Multiple (LCM) of 26463 and 26479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26463 and 26479. First we will calculate the prime factors of 26463 and 26479.
Prime Factorization of 26463
Prime factors of 26463 are 3, 8821. Prime factorization of 26463 in exponential form is:
26463 = 31 × 88211
Prime Factorization of 26479
Prime factors of 26479 are 26479. Prime factorization of 26479 in exponential form is:
26479 = 264791
Now multiplying the highest exponent prime factors to calculate the LCM of 26463 and 26479.
LCM(26463,26479) = 31 × 88211 × 264791
LCM(26463,26479) = 700713777
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