What is the Least Common Multiple of 556 and 576?
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 556 and 576 is 80064.
LCM(556,576) = 80064
Least Common Multiple of 556 and 576 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 556 and 576, than apply into the LCM equation.
GCF(556,576) = 4
LCM(556,576) = ( 556 × 576) / 4
LCM(556,576) = 320256 / 4
LCM(556,576) = 80064
Least Common Multiple (LCM) of 556 and 576 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 556 and 576. First we will calculate the prime factors of 556 and 576.
Prime Factorization of 556
Prime factors of 556 are 2, 139. Prime factorization of 556 in exponential form is:
556 = 22 × 1391
Prime Factorization of 576
Prime factors of 576 are 2, 3. Prime factorization of 576 in exponential form is:
576 = 26 × 32
Now multiplying the highest exponent prime factors to calculate the LCM of 556 and 576.
LCM(556,576) = 26 × 1391 × 32
LCM(556,576) = 80064
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