What is the Least Common Multiple of 16542 and 16561?
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 16542 and 16561 is 273952062.
LCM(16542,16561) = 273952062
Least Common Multiple of 16542 and 16561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16542 and 16561, than apply into the LCM equation.
GCF(16542,16561) = 1
LCM(16542,16561) = ( 16542 × 16561) / 1
LCM(16542,16561) = 273952062 / 1
LCM(16542,16561) = 273952062
Least Common Multiple (LCM) of 16542 and 16561 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16542 and 16561. First we will calculate the prime factors of 16542 and 16561.
Prime Factorization of 16542
Prime factors of 16542 are 2, 3, 919. Prime factorization of 16542 in exponential form is:
16542 = 21 × 32 × 9191
Prime Factorization of 16561
Prime factors of 16561 are 16561. Prime factorization of 16561 in exponential form is:
16561 = 165611
Now multiplying the highest exponent prime factors to calculate the LCM of 16542 and 16561.
LCM(16542,16561) = 21 × 32 × 9191 × 165611
LCM(16542,16561) = 273952062
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