What is the Least Common Multiple of 17332 and 17348?
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 17332 and 17348 is 75168884.
LCM(17332,17348) = 75168884
Least Common Multiple of 17332 and 17348 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17332 and 17348, than apply into the LCM equation.
GCF(17332,17348) = 4
LCM(17332,17348) = ( 17332 × 17348) / 4
LCM(17332,17348) = 300675536 / 4
LCM(17332,17348) = 75168884
Least Common Multiple (LCM) of 17332 and 17348 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17332 and 17348. First we will calculate the prime factors of 17332 and 17348.
Prime Factorization of 17332
Prime factors of 17332 are 2, 7, 619. Prime factorization of 17332 in exponential form is:
17332 = 22 × 71 × 6191
Prime Factorization of 17348
Prime factors of 17348 are 2, 4337. Prime factorization of 17348 in exponential form is:
17348 = 22 × 43371
Now multiplying the highest exponent prime factors to calculate the LCM of 17332 and 17348.
LCM(17332,17348) = 22 × 71 × 6191 × 43371
LCM(17332,17348) = 75168884
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