What is the Least Common Multiple of 17332 and 17336?
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 17336 is 75116888.
LCM(17332,17336) = 75116888
Least Common Multiple of 17332 and 17336 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 17336, than apply into the LCM equation.
GCF(17332,17336) = 4
LCM(17332,17336) = ( 17332 × 17336) / 4
LCM(17332,17336) = 300467552 / 4
LCM(17332,17336) = 75116888
Least Common Multiple (LCM) of 17332 and 17336 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17332 and 17336. First we will calculate the prime factors of 17332 and 17336.
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 17336
Prime factors of 17336 are 2, 11, 197. Prime factorization of 17336 in exponential form is:
17336 = 23 × 111 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 17332 and 17336.
LCM(17332,17336) = 23 × 71 × 6191 × 111 × 1971
LCM(17332,17336) = 75116888
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