What is the Least Common Multiple of 26519 and 26531?
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 26519 and 26531 is 703575589.
LCM(26519,26531) = 703575589
Least Common Multiple of 26519 and 26531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26519 and 26531, than apply into the LCM equation.
GCF(26519,26531) = 1
LCM(26519,26531) = ( 26519 × 26531) / 1
LCM(26519,26531) = 703575589 / 1
LCM(26519,26531) = 703575589
Least Common Multiple (LCM) of 26519 and 26531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26519 and 26531. First we will calculate the prime factors of 26519 and 26531.
Prime Factorization of 26519
Prime factors of 26519 are 23, 1153. Prime factorization of 26519 in exponential form is:
26519 = 231 × 11531
Prime Factorization of 26531
Prime factors of 26531 are 43, 617. Prime factorization of 26531 in exponential form is:
26531 = 431 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 26519 and 26531.
LCM(26519,26531) = 231 × 11531 × 431 × 6171
LCM(26519,26531) = 703575589
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