What is the Least Common Multiple of 17248 and 17255?
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 17248 and 17255 is 42516320.
LCM(17248,17255) = 42516320
Least Common Multiple of 17248 and 17255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17248 and 17255, than apply into the LCM equation.
GCF(17248,17255) = 7
LCM(17248,17255) = ( 17248 × 17255) / 7
LCM(17248,17255) = 297614240 / 7
LCM(17248,17255) = 42516320
Least Common Multiple (LCM) of 17248 and 17255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17248 and 17255. First we will calculate the prime factors of 17248 and 17255.
Prime Factorization of 17248
Prime factors of 17248 are 2, 7, 11. Prime factorization of 17248 in exponential form is:
17248 = 25 × 72 × 111
Prime Factorization of 17255
Prime factors of 17255 are 5, 7, 17, 29. Prime factorization of 17255 in exponential form is:
17255 = 51 × 71 × 171 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 17248 and 17255.
LCM(17248,17255) = 25 × 72 × 111 × 51 × 171 × 291
LCM(17248,17255) = 42516320
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