What is the Least Common Multiple of 26480 and 26500?
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 26480 and 26500 is 35086000.
LCM(26480,26500) = 35086000
Least Common Multiple of 26480 and 26500 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26480 and 26500, than apply into the LCM equation.
GCF(26480,26500) = 20
LCM(26480,26500) = ( 26480 × 26500) / 20
LCM(26480,26500) = 701720000 / 20
LCM(26480,26500) = 35086000
Least Common Multiple (LCM) of 26480 and 26500 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26480 and 26500. First we will calculate the prime factors of 26480 and 26500.
Prime Factorization of 26480
Prime factors of 26480 are 2, 5, 331. Prime factorization of 26480 in exponential form is:
26480 = 24 × 51 × 3311
Prime Factorization of 26500
Prime factors of 26500 are 2, 5, 53. Prime factorization of 26500 in exponential form is:
26500 = 22 × 53 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 26480 and 26500.
LCM(26480,26500) = 24 × 53 × 3311 × 531
LCM(26480,26500) = 35086000
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