What is the Least Common Multiple of 9557 and 9562?
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 9557 and 9562 is 91384034.
LCM(9557,9562) = 91384034
Least Common Multiple of 9557 and 9562 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9557 and 9562, than apply into the LCM equation.
GCF(9557,9562) = 1
LCM(9557,9562) = ( 9557 × 9562) / 1
LCM(9557,9562) = 91384034 / 1
LCM(9557,9562) = 91384034
Least Common Multiple (LCM) of 9557 and 9562 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9557 and 9562. First we will calculate the prime factors of 9557 and 9562.
Prime Factorization of 9557
Prime factors of 9557 are 19, 503. Prime factorization of 9557 in exponential form is:
9557 = 191 × 5031
Prime Factorization of 9562
Prime factors of 9562 are 2, 7, 683. Prime factorization of 9562 in exponential form is:
9562 = 21 × 71 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 9557 and 9562.
LCM(9557,9562) = 191 × 5031 × 21 × 71 × 6831
LCM(9557,9562) = 91384034
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