What is the Least Common Multiple of 57533 and 57550?
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 57533 and 57550 is 3311024150.
LCM(57533,57550) = 3311024150
Least Common Multiple of 57533 and 57550 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57533 and 57550, than apply into the LCM equation.
GCF(57533,57550) = 1
LCM(57533,57550) = ( 57533 × 57550) / 1
LCM(57533,57550) = 3311024150 / 1
LCM(57533,57550) = 3311024150
Least Common Multiple (LCM) of 57533 and 57550 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57533 and 57550. First we will calculate the prime factors of 57533 and 57550.
Prime Factorization of 57533
Prime factors of 57533 are 7, 8219. Prime factorization of 57533 in exponential form is:
57533 = 71 × 82191
Prime Factorization of 57550
Prime factors of 57550 are 2, 5, 1151. Prime factorization of 57550 in exponential form is:
57550 = 21 × 52 × 11511
Now multiplying the highest exponent prime factors to calculate the LCM of 57533 and 57550.
LCM(57533,57550) = 71 × 82191 × 21 × 52 × 11511
LCM(57533,57550) = 3311024150
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Related Least Common Multiples of 57550
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