What is the Least Common Multiple of 9430 and 9443?
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 9430 and 9443 is 89047490.
LCM(9430,9443) = 89047490
Least Common Multiple of 9430 and 9443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9430 and 9443, than apply into the LCM equation.
GCF(9430,9443) = 1
LCM(9430,9443) = ( 9430 × 9443) / 1
LCM(9430,9443) = 89047490 / 1
LCM(9430,9443) = 89047490
Least Common Multiple (LCM) of 9430 and 9443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9430 and 9443. First we will calculate the prime factors of 9430 and 9443.
Prime Factorization of 9430
Prime factors of 9430 are 2, 5, 23, 41. Prime factorization of 9430 in exponential form is:
9430 = 21 × 51 × 231 × 411
Prime Factorization of 9443
Prime factors of 9443 are 7, 19, 71. Prime factorization of 9443 in exponential form is:
9443 = 71 × 191 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 9430 and 9443.
LCM(9430,9443) = 21 × 51 × 231 × 411 × 71 × 191 × 711
LCM(9430,9443) = 89047490
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