What is the Least Common Multiple of 9473 and 9487?
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 9473 and 9487 is 89870351.
LCM(9473,9487) = 89870351
Least Common Multiple of 9473 and 9487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9473 and 9487, than apply into the LCM equation.
GCF(9473,9487) = 1
LCM(9473,9487) = ( 9473 × 9487) / 1
LCM(9473,9487) = 89870351 / 1
LCM(9473,9487) = 89870351
Least Common Multiple (LCM) of 9473 and 9487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9473 and 9487. First we will calculate the prime factors of 9473 and 9487.
Prime Factorization of 9473
Prime factors of 9473 are 9473. Prime factorization of 9473 in exponential form is:
9473 = 94731
Prime Factorization of 9487
Prime factors of 9487 are 53, 179. Prime factorization of 9487 in exponential form is:
9487 = 531 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 9473 and 9487.
LCM(9473,9487) = 94731 × 531 × 1791
LCM(9473,9487) = 89870351
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