What is the Least Common Multiple of 9423 and 9433?
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 9423 and 9433 is 88887159.
LCM(9423,9433) = 88887159
Least Common Multiple of 9423 and 9433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9423 and 9433, than apply into the LCM equation.
GCF(9423,9433) = 1
LCM(9423,9433) = ( 9423 × 9433) / 1
LCM(9423,9433) = 88887159 / 1
LCM(9423,9433) = 88887159
Least Common Multiple (LCM) of 9423 and 9433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9423 and 9433. First we will calculate the prime factors of 9423 and 9433.
Prime Factorization of 9423
Prime factors of 9423 are 3, 349. Prime factorization of 9423 in exponential form is:
9423 = 33 × 3491
Prime Factorization of 9433
Prime factors of 9433 are 9433. Prime factorization of 9433 in exponential form is:
9433 = 94331
Now multiplying the highest exponent prime factors to calculate the LCM of 9423 and 9433.
LCM(9423,9433) = 33 × 3491 × 94331
LCM(9423,9433) = 88887159
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