What is the Least Common Multiple of 9396 and 9404?
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 9396 and 9404 is 22089996.
LCM(9396,9404) = 22089996
Least Common Multiple of 9396 and 9404 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9396 and 9404, than apply into the LCM equation.
GCF(9396,9404) = 4
LCM(9396,9404) = ( 9396 × 9404) / 4
LCM(9396,9404) = 88359984 / 4
LCM(9396,9404) = 22089996
Least Common Multiple (LCM) of 9396 and 9404 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9396 and 9404. First we will calculate the prime factors of 9396 and 9404.
Prime Factorization of 9396
Prime factors of 9396 are 2, 3, 29. Prime factorization of 9396 in exponential form is:
9396 = 22 × 34 × 291
Prime Factorization of 9404
Prime factors of 9404 are 2, 2351. Prime factorization of 9404 in exponential form is:
9404 = 22 × 23511
Now multiplying the highest exponent prime factors to calculate the LCM of 9396 and 9404.
LCM(9396,9404) = 22 × 34 × 291 × 23511
LCM(9396,9404) = 22089996
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