What is the Least Common Multiple of 16529 and 16538?
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 16529 and 16538 is 273356602.
LCM(16529,16538) = 273356602
Least Common Multiple of 16529 and 16538 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16529 and 16538, than apply into the LCM equation.
GCF(16529,16538) = 1
LCM(16529,16538) = ( 16529 × 16538) / 1
LCM(16529,16538) = 273356602 / 1
LCM(16529,16538) = 273356602
Least Common Multiple (LCM) of 16529 and 16538 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16529 and 16538. First we will calculate the prime factors of 16529 and 16538.
Prime Factorization of 16529
Prime factors of 16529 are 16529. Prime factorization of 16529 in exponential form is:
16529 = 165291
Prime Factorization of 16538
Prime factors of 16538 are 2, 8269. Prime factorization of 16538 in exponential form is:
16538 = 21 × 82691
Now multiplying the highest exponent prime factors to calculate the LCM of 16529 and 16538.
LCM(16529,16538) = 165291 × 21 × 82691
LCM(16529,16538) = 273356602
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