What is the Least Common Multiple of 9268 and 9288?
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 9268 and 9288 is 21520296.
LCM(9268,9288) = 21520296
Least Common Multiple of 9268 and 9288 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9268 and 9288, than apply into the LCM equation.
GCF(9268,9288) = 4
LCM(9268,9288) = ( 9268 × 9288) / 4
LCM(9268,9288) = 86081184 / 4
LCM(9268,9288) = 21520296
Least Common Multiple (LCM) of 9268 and 9288 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9268 and 9288. First we will calculate the prime factors of 9268 and 9288.
Prime Factorization of 9268
Prime factors of 9268 are 2, 7, 331. Prime factorization of 9268 in exponential form is:
9268 = 22 × 71 × 3311
Prime Factorization of 9288
Prime factors of 9288 are 2, 3, 43. Prime factorization of 9288 in exponential form is:
9288 = 23 × 33 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 9268 and 9288.
LCM(9268,9288) = 23 × 71 × 3311 × 33 × 431
LCM(9268,9288) = 21520296
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