What is the Least Common Multiple of 9403 and 9422?
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 9403 and 9422 is 88595066.
LCM(9403,9422) = 88595066
Least Common Multiple of 9403 and 9422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9403 and 9422, than apply into the LCM equation.
GCF(9403,9422) = 1
LCM(9403,9422) = ( 9403 × 9422) / 1
LCM(9403,9422) = 88595066 / 1
LCM(9403,9422) = 88595066
Least Common Multiple (LCM) of 9403 and 9422 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9403 and 9422. First we will calculate the prime factors of 9403 and 9422.
Prime Factorization of 9403
Prime factors of 9403 are 9403. Prime factorization of 9403 in exponential form is:
9403 = 94031
Prime Factorization of 9422
Prime factors of 9422 are 2, 7, 673. Prime factorization of 9422 in exponential form is:
9422 = 21 × 71 × 6731
Now multiplying the highest exponent prime factors to calculate the LCM of 9403 and 9422.
LCM(9403,9422) = 94031 × 21 × 71 × 6731
LCM(9403,9422) = 88595066
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