What is the Least Common Multiple of 16527 and 16543?
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 16527 and 16543 is 273406161.
LCM(16527,16543) = 273406161
Least Common Multiple of 16527 and 16543 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16527 and 16543, than apply into the LCM equation.
GCF(16527,16543) = 1
LCM(16527,16543) = ( 16527 × 16543) / 1
LCM(16527,16543) = 273406161 / 1
LCM(16527,16543) = 273406161
Least Common Multiple (LCM) of 16527 and 16543 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16527 and 16543. First we will calculate the prime factors of 16527 and 16543.
Prime Factorization of 16527
Prime factors of 16527 are 3, 7, 787. Prime factorization of 16527 in exponential form is:
16527 = 31 × 71 × 7871
Prime Factorization of 16543
Prime factors of 16543 are 71, 233. Prime factorization of 16543 in exponential form is:
16543 = 711 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 16527 and 16543.
LCM(16527,16543) = 31 × 71 × 7871 × 711 × 2331
LCM(16527,16543) = 273406161
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