What is the Least Common Multiple of 21329 and 21333?
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 21329 and 21333 is 455011557.
LCM(21329,21333) = 455011557
Least Common Multiple of 21329 and 21333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21329 and 21333, than apply into the LCM equation.
GCF(21329,21333) = 1
LCM(21329,21333) = ( 21329 × 21333) / 1
LCM(21329,21333) = 455011557 / 1
LCM(21329,21333) = 455011557
Least Common Multiple (LCM) of 21329 and 21333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21329 and 21333. First we will calculate the prime factors of 21329 and 21333.
Prime Factorization of 21329
Prime factors of 21329 are 7, 11, 277. Prime factorization of 21329 in exponential form is:
21329 = 71 × 111 × 2771
Prime Factorization of 21333
Prime factors of 21333 are 3, 13, 547. Prime factorization of 21333 in exponential form is:
21333 = 31 × 131 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 21329 and 21333.
LCM(21329,21333) = 71 × 111 × 2771 × 31 × 131 × 5471
LCM(21329,21333) = 455011557
Related Least Common Multiples of 21329
- LCM of 21329 and 21333
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- LCM of 21329 and 21340
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- LCM of 21329 and 21345
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Related Least Common Multiples of 21333
- LCM of 21333 and 21337
- LCM of 21333 and 21338
- LCM of 21333 and 21339
- LCM of 21333 and 21340
- LCM of 21333 and 21341
- LCM of 21333 and 21342
- LCM of 21333 and 21343
- LCM of 21333 and 21344
- LCM of 21333 and 21345
- LCM of 21333 and 21346
- LCM of 21333 and 21347
- LCM of 21333 and 21348
- LCM of 21333 and 21349
- LCM of 21333 and 21350
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