What is the Least Common Multiple of 16307 and 16313?
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 16307 and 16313 is 266016091.
LCM(16307,16313) = 266016091
Least Common Multiple of 16307 and 16313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16307 and 16313, than apply into the LCM equation.
GCF(16307,16313) = 1
LCM(16307,16313) = ( 16307 × 16313) / 1
LCM(16307,16313) = 266016091 / 1
LCM(16307,16313) = 266016091
Least Common Multiple (LCM) of 16307 and 16313 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16307 and 16313. First we will calculate the prime factors of 16307 and 16313.
Prime Factorization of 16307
Prime factors of 16307 are 23, 709. Prime factorization of 16307 in exponential form is:
16307 = 231 × 7091
Prime Factorization of 16313
Prime factors of 16313 are 11, 1483. Prime factorization of 16313 in exponential form is:
16313 = 111 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 16307 and 16313.
LCM(16307,16313) = 231 × 7091 × 111 × 14831
LCM(16307,16313) = 266016091
Related Least Common Multiples of 16307
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- LCM of 16307 and 16316
- LCM of 16307 and 16317
- LCM of 16307 and 16318
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Related Least Common Multiples of 16313
- LCM of 16313 and 16317
- LCM of 16313 and 16318
- LCM of 16313 and 16319
- LCM of 16313 and 16320
- LCM of 16313 and 16321
- LCM of 16313 and 16322
- LCM of 16313 and 16323
- LCM of 16313 and 16324
- LCM of 16313 and 16325
- LCM of 16313 and 16326
- LCM of 16313 and 16327
- LCM of 16313 and 16328
- LCM of 16313 and 16329
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- LCM of 16313 and 16333