What is the Least Common Multiple of 566 and 584?
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 566 and 584 is 165272.
LCM(566,584) = 165272
Least Common Multiple of 566 and 584 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 566 and 584, than apply into the LCM equation.
GCF(566,584) = 2
LCM(566,584) = ( 566 × 584) / 2
LCM(566,584) = 330544 / 2
LCM(566,584) = 165272
Least Common Multiple (LCM) of 566 and 584 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 566 and 584. First we will calculate the prime factors of 566 and 584.
Prime Factorization of 566
Prime factors of 566 are 2, 283. Prime factorization of 566 in exponential form is:
566 = 21 × 2831
Prime Factorization of 584
Prime factors of 584 are 2, 73. Prime factorization of 584 in exponential form is:
584 = 23 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 566 and 584.
LCM(566,584) = 23 × 2831 × 731
LCM(566,584) = 165272
Related Least Common Multiples of 566
- LCM of 566 and 570
- LCM of 566 and 571
- LCM of 566 and 572
- LCM of 566 and 573
- LCM of 566 and 574
- LCM of 566 and 575
- LCM of 566 and 576
- LCM of 566 and 577
- LCM of 566 and 578
- LCM of 566 and 579
- LCM of 566 and 580
- LCM of 566 and 581
- LCM of 566 and 582
- LCM of 566 and 583
- LCM of 566 and 584
- LCM of 566 and 585
- LCM of 566 and 586
Related Least Common Multiples of 584
- LCM of 584 and 588
- LCM of 584 and 589
- LCM of 584 and 590
- LCM of 584 and 591
- LCM of 584 and 592
- LCM of 584 and 593
- LCM of 584 and 594
- LCM of 584 and 595
- LCM of 584 and 596
- LCM of 584 and 597
- LCM of 584 and 598
- LCM of 584 and 599
- LCM of 584 and 600
- LCM of 584 and 601
- LCM of 584 and 602
- LCM of 584 and 603
- LCM of 584 and 604