What is the Least Common Multiple of 16317 and 16324?
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 16317 and 16324 is 38051244.
LCM(16317,16324) = 38051244
Least Common Multiple of 16317 and 16324 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16317 and 16324, than apply into the LCM equation.
GCF(16317,16324) = 7
LCM(16317,16324) = ( 16317 × 16324) / 7
LCM(16317,16324) = 266358708 / 7
LCM(16317,16324) = 38051244
Least Common Multiple (LCM) of 16317 and 16324 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16317 and 16324. First we will calculate the prime factors of 16317 and 16324.
Prime Factorization of 16317
Prime factors of 16317 are 3, 7, 37. Prime factorization of 16317 in exponential form is:
16317 = 32 × 72 × 371
Prime Factorization of 16324
Prime factors of 16324 are 2, 7, 11, 53. Prime factorization of 16324 in exponential form is:
16324 = 22 × 71 × 111 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 16317 and 16324.
LCM(16317,16324) = 32 × 72 × 371 × 22 × 111 × 531
LCM(16317,16324) = 38051244
Related Least Common Multiples of 16317
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Related Least Common Multiples of 16324
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- LCM of 16324 and 16330
- LCM of 16324 and 16331
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