What is the Least Common Multiple of 569 and 574?
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 569 and 574 is 326606.
LCM(569,574) = 326606
Least Common Multiple of 569 and 574 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 569 and 574, than apply into the LCM equation.
GCF(569,574) = 1
LCM(569,574) = ( 569 × 574) / 1
LCM(569,574) = 326606 / 1
LCM(569,574) = 326606
Least Common Multiple (LCM) of 569 and 574 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 569 and 574. First we will calculate the prime factors of 569 and 574.
Prime Factorization of 569
Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:
569 = 5691
Prime Factorization of 574
Prime factors of 574 are 2, 7, 41. Prime factorization of 574 in exponential form is:
574 = 21 × 71 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 569 and 574.
LCM(569,574) = 5691 × 21 × 71 × 411
LCM(569,574) = 326606
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