What is the Least Common Multiple of 9541 and 9557?
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 9541 and 9557 is 91183337.
LCM(9541,9557) = 91183337
Least Common Multiple of 9541 and 9557 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9541 and 9557, than apply into the LCM equation.
GCF(9541,9557) = 1
LCM(9541,9557) = ( 9541 × 9557) / 1
LCM(9541,9557) = 91183337 / 1
LCM(9541,9557) = 91183337
Least Common Multiple (LCM) of 9541 and 9557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9541 and 9557. First we will calculate the prime factors of 9541 and 9557.
Prime Factorization of 9541
Prime factors of 9541 are 7, 29, 47. Prime factorization of 9541 in exponential form is:
9541 = 71 × 291 × 471
Prime Factorization of 9557
Prime factors of 9557 are 19, 503. Prime factorization of 9557 in exponential form is:
9557 = 191 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 9541 and 9557.
LCM(9541,9557) = 71 × 291 × 471 × 191 × 5031
LCM(9541,9557) = 91183337
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