What is the Least Common Multiple of 559 and 570?
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 570 is 318630.
LCM(559,570) = 318630
Least Common Multiple of 559 and 570 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 570, than apply into the LCM equation.
GCF(559,570) = 1
LCM(559,570) = ( 559 × 570) / 1
LCM(559,570) = 318630 / 1
LCM(559,570) = 318630
Least Common Multiple (LCM) of 559 and 570 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 559 and 570. First we will calculate the prime factors of 559 and 570.
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 570
Prime factors of 570 are 2, 3, 5, 19. Prime factorization of 570 in exponential form is:
570 = 21 × 31 × 51 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 559 and 570.
LCM(559,570) = 131 × 431 × 21 × 31 × 51 × 191
LCM(559,570) = 318630
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 570
- LCM of 570 and 574
- LCM of 570 and 575
- LCM of 570 and 576
- LCM of 570 and 577
- LCM of 570 and 578
- LCM of 570 and 579
- LCM of 570 and 580
- LCM of 570 and 581
- LCM of 570 and 582
- LCM of 570 and 583
- LCM of 570 and 584
- LCM of 570 and 585
- LCM of 570 and 586
- LCM of 570 and 587
- LCM of 570 and 588
- LCM of 570 and 589
- LCM of 570 and 590