What is the Least Common Multiple of 568 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 568 and 584 is 41464.
LCM(568,584) = 41464
Least Common Multiple of 568 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 568 and 584, than apply into the LCM equation.
GCF(568,584) = 8
LCM(568,584) = ( 568 × 584) / 8
LCM(568,584) = 331712 / 8
LCM(568,584) = 41464
Least Common Multiple (LCM) of 568 and 584 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 568 and 584. First we will calculate the prime factors of 568 and 584.
Prime Factorization of 568
Prime factors of 568 are 2, 71. Prime factorization of 568 in exponential form is:
568 = 23 × 711
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 568 and 584.
LCM(568,584) = 23 × 711 × 731
LCM(568,584) = 41464
Related Least Common Multiples of 568
- LCM of 568 and 572
- LCM of 568 and 573
- LCM of 568 and 574
- LCM of 568 and 575
- LCM of 568 and 576
- LCM of 568 and 577
- LCM of 568 and 578
- LCM of 568 and 579
- LCM of 568 and 580
- LCM of 568 and 581
- LCM of 568 and 582
- LCM of 568 and 583
- LCM of 568 and 584
- LCM of 568 and 585
- LCM of 568 and 586
- LCM of 568 and 587
- LCM of 568 and 588
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