What is the Least Common Multiple of 9404 and 9423?
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 9404 and 9423 is 88613892.
LCM(9404,9423) = 88613892
Least Common Multiple of 9404 and 9423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9404 and 9423, than apply into the LCM equation.
GCF(9404,9423) = 1
LCM(9404,9423) = ( 9404 × 9423) / 1
LCM(9404,9423) = 88613892 / 1
LCM(9404,9423) = 88613892
Least Common Multiple (LCM) of 9404 and 9423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9404 and 9423. First we will calculate the prime factors of 9404 and 9423.
Prime Factorization of 9404
Prime factors of 9404 are 2, 2351. Prime factorization of 9404 in exponential form is:
9404 = 22 × 23511
Prime Factorization of 9423
Prime factors of 9423 are 3, 349. Prime factorization of 9423 in exponential form is:
9423 = 33 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 9404 and 9423.
LCM(9404,9423) = 22 × 23511 × 33 × 3491
LCM(9404,9423) = 88613892
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