What is the Least Common Multiple of 570 and 586?
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 570 and 586 is 167010.
LCM(570,586) = 167010
Least Common Multiple of 570 and 586 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 570 and 586, than apply into the LCM equation.
GCF(570,586) = 2
LCM(570,586) = ( 570 × 586) / 2
LCM(570,586) = 334020 / 2
LCM(570,586) = 167010
Least Common Multiple (LCM) of 570 and 586 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 570 and 586. First we will calculate the prime factors of 570 and 586.
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
Prime Factorization of 586
Prime factors of 586 are 2, 293. Prime factorization of 586 in exponential form is:
586 = 21 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 570 and 586.
LCM(570,586) = 21 × 31 × 51 × 191 × 2931
LCM(570,586) = 167010
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
Related Least Common Multiples of 586
- LCM of 586 and 590
- LCM of 586 and 591
- LCM of 586 and 592
- LCM of 586 and 593
- LCM of 586 and 594
- LCM of 586 and 595
- LCM of 586 and 596
- LCM of 586 and 597
- LCM of 586 and 598
- LCM of 586 and 599
- LCM of 586 and 600
- LCM of 586 and 601
- LCM of 586 and 602
- LCM of 586 and 603
- LCM of 586 and 604
- LCM of 586 and 605
- LCM of 586 and 606