What is the Least Common Multiple of 553 and 564?
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 553 and 564 is 311892.
LCM(553,564) = 311892
Least Common Multiple of 553 and 564 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 553 and 564, than apply into the LCM equation.
GCF(553,564) = 1
LCM(553,564) = ( 553 × 564) / 1
LCM(553,564) = 311892 / 1
LCM(553,564) = 311892
Least Common Multiple (LCM) of 553 and 564 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 553 and 564. First we will calculate the prime factors of 553 and 564.
Prime Factorization of 553
Prime factors of 553 are 7, 79. Prime factorization of 553 in exponential form is:
553 = 71 × 791
Prime Factorization of 564
Prime factors of 564 are 2, 3, 47. Prime factorization of 564 in exponential form is:
564 = 22 × 31 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 553 and 564.
LCM(553,564) = 71 × 791 × 22 × 31 × 471
LCM(553,564) = 311892
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