What is the Least Common Multiple of 559 and 576?
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 559 and 576 is 321984.
LCM(559,576) = 321984
Least Common Multiple of 559 and 576 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 559 and 576, than apply into the LCM equation.
GCF(559,576) = 1
LCM(559,576) = ( 559 × 576) / 1
LCM(559,576) = 321984 / 1
LCM(559,576) = 321984
Least Common Multiple (LCM) of 559 and 576 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 576. First we will calculate the prime factors of 559 and 576.
Prime Factorization of 559
Prime factors of 559 are 13, 43. Prime factorization of 559 in exponential form is:
559 = 131 × 431
Prime Factorization of 576
Prime factors of 576 are 2, 3. Prime factorization of 576 in exponential form is:
576 = 26 × 32
Now multiplying the highest exponent prime factors to calculate the LCM of 559 and 576.
LCM(559,576) = 131 × 431 × 26 × 32
LCM(559,576) = 321984
Related Least Common Multiples of 559
- LCM of 559 and 563
- LCM of 559 and 564
- LCM of 559 and 565
- LCM of 559 and 566
- LCM of 559 and 567
- LCM of 559 and 568
- LCM of 559 and 569
- LCM of 559 and 570
- LCM of 559 and 571
- LCM of 559 and 572
- LCM of 559 and 573
- LCM of 559 and 574
- LCM of 559 and 575
- LCM of 559 and 576
- LCM of 559 and 577
- LCM of 559 and 578
- LCM of 559 and 579
Related Least Common Multiples of 576
- LCM of 576 and 580
- LCM of 576 and 581
- LCM of 576 and 582
- LCM of 576 and 583
- LCM of 576 and 584
- LCM of 576 and 585
- LCM of 576 and 586
- LCM of 576 and 587
- LCM of 576 and 588
- LCM of 576 and 589
- LCM of 576 and 590
- LCM of 576 and 591
- LCM of 576 and 592
- LCM of 576 and 593
- LCM of 576 and 594
- LCM of 576 and 595
- LCM of 576 and 596