What is the Least Common Multiple of 16302 and 16317?
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 16302 and 16317 is 88666578.
LCM(16302,16317) = 88666578
Least Common Multiple of 16302 and 16317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16302 and 16317, than apply into the LCM equation.
GCF(16302,16317) = 3
LCM(16302,16317) = ( 16302 × 16317) / 3
LCM(16302,16317) = 265999734 / 3
LCM(16302,16317) = 88666578
Least Common Multiple (LCM) of 16302 and 16317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16302 and 16317. First we will calculate the prime factors of 16302 and 16317.
Prime Factorization of 16302
Prime factors of 16302 are 2, 3, 11, 13, 19. Prime factorization of 16302 in exponential form is:
16302 = 21 × 31 × 111 × 131 × 191
Prime Factorization of 16317
Prime factors of 16317 are 3, 7, 37. Prime factorization of 16317 in exponential form is:
16317 = 32 × 72 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 16302 and 16317.
LCM(16302,16317) = 21 × 32 × 111 × 131 × 191 × 72 × 371
LCM(16302,16317) = 88666578
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