What is the Least Common Multiple of 16330 and 16348?
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 16330 and 16348 is 133481420.
LCM(16330,16348) = 133481420
Least Common Multiple of 16330 and 16348 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16330 and 16348, than apply into the LCM equation.
GCF(16330,16348) = 2
LCM(16330,16348) = ( 16330 × 16348) / 2
LCM(16330,16348) = 266962840 / 2
LCM(16330,16348) = 133481420
Least Common Multiple (LCM) of 16330 and 16348 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16330 and 16348. First we will calculate the prime factors of 16330 and 16348.
Prime Factorization of 16330
Prime factors of 16330 are 2, 5, 23, 71. Prime factorization of 16330 in exponential form is:
16330 = 21 × 51 × 231 × 711
Prime Factorization of 16348
Prime factors of 16348 are 2, 61, 67. Prime factorization of 16348 in exponential form is:
16348 = 22 × 611 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 16330 and 16348.
LCM(16330,16348) = 22 × 51 × 231 × 711 × 611 × 671
LCM(16330,16348) = 133481420
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