What is the Least Common Multiple of 16556 and 16564?
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 16556 and 16564 is 68558396.
LCM(16556,16564) = 68558396
Least Common Multiple of 16556 and 16564 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16556 and 16564, than apply into the LCM equation.
GCF(16556,16564) = 4
LCM(16556,16564) = ( 16556 × 16564) / 4
LCM(16556,16564) = 274233584 / 4
LCM(16556,16564) = 68558396
Least Common Multiple (LCM) of 16556 and 16564 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16556 and 16564. First we will calculate the prime factors of 16556 and 16564.
Prime Factorization of 16556
Prime factors of 16556 are 2, 4139. Prime factorization of 16556 in exponential form is:
16556 = 22 × 41391
Prime Factorization of 16564
Prime factors of 16564 are 2, 41, 101. Prime factorization of 16564 in exponential form is:
16564 = 22 × 411 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 16556 and 16564.
LCM(16556,16564) = 22 × 41391 × 411 × 1011
LCM(16556,16564) = 68558396
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