What is the Least Common Multiple of 16546 and 16556?
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 16546 and 16556 is 136967788.
LCM(16546,16556) = 136967788
Least Common Multiple of 16546 and 16556 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16546 and 16556, than apply into the LCM equation.
GCF(16546,16556) = 2
LCM(16546,16556) = ( 16546 × 16556) / 2
LCM(16546,16556) = 273935576 / 2
LCM(16546,16556) = 136967788
Least Common Multiple (LCM) of 16546 and 16556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16546 and 16556. First we will calculate the prime factors of 16546 and 16556.
Prime Factorization of 16546
Prime factors of 16546 are 2, 8273. Prime factorization of 16546 in exponential form is:
16546 = 21 × 82731
Prime Factorization of 16556
Prime factors of 16556 are 2, 4139. Prime factorization of 16556 in exponential form is:
16556 = 22 × 41391
Now multiplying the highest exponent prime factors to calculate the LCM of 16546 and 16556.
LCM(16546,16556) = 22 × 82731 × 41391
LCM(16546,16556) = 136967788
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