What is the Least Common Multiple of 563 and 583?
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 563 and 583 is 328229.
LCM(563,583) = 328229
Least Common Multiple of 563 and 583 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 563 and 583, than apply into the LCM equation.
GCF(563,583) = 1
LCM(563,583) = ( 563 × 583) / 1
LCM(563,583) = 328229 / 1
LCM(563,583) = 328229
Least Common Multiple (LCM) of 563 and 583 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 563 and 583. First we will calculate the prime factors of 563 and 583.
Prime Factorization of 563
Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:
563 = 5631
Prime Factorization of 583
Prime factors of 583 are 11, 53. Prime factorization of 583 in exponential form is:
583 = 111 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 563 and 583.
LCM(563,583) = 5631 × 111 × 531
LCM(563,583) = 328229
Related Least Common Multiples of 563
- LCM of 563 and 567
- LCM of 563 and 568
- LCM of 563 and 569
- LCM of 563 and 570
- LCM of 563 and 571
- LCM of 563 and 572
- LCM of 563 and 573
- LCM of 563 and 574
- LCM of 563 and 575
- LCM of 563 and 576
- LCM of 563 and 577
- LCM of 563 and 578
- LCM of 563 and 579
- LCM of 563 and 580
- LCM of 563 and 581
- LCM of 563 and 582
- LCM of 563 and 583
Related Least Common Multiples of 583
- LCM of 583 and 587
- LCM of 583 and 588
- LCM of 583 and 589
- LCM of 583 and 590
- LCM of 583 and 591
- LCM of 583 and 592
- LCM of 583 and 593
- LCM of 583 and 594
- LCM of 583 and 595
- LCM of 583 and 596
- LCM of 583 and 597
- LCM of 583 and 598
- LCM of 583 and 599
- LCM of 583 and 600
- LCM of 583 and 601
- LCM of 583 and 602
- LCM of 583 and 603