What is the Least Common Multiple of 567 and 585?
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 567 and 585 is 36855.
LCM(567,585) = 36855
Least Common Multiple of 567 and 585 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 567 and 585, than apply into the LCM equation.
GCF(567,585) = 9
LCM(567,585) = ( 567 × 585) / 9
LCM(567,585) = 331695 / 9
LCM(567,585) = 36855
Least Common Multiple (LCM) of 567 and 585 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 567 and 585. First we will calculate the prime factors of 567 and 585.
Prime Factorization of 567
Prime factors of 567 are 3, 7. Prime factorization of 567 in exponential form is:
567 = 34 × 71
Prime Factorization of 585
Prime factors of 585 are 3, 5, 13. Prime factorization of 585 in exponential form is:
585 = 32 × 51 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 567 and 585.
LCM(567,585) = 34 × 71 × 51 × 131
LCM(567,585) = 36855
Related Least Common Multiples of 567
- LCM of 567 and 571
- LCM of 567 and 572
- LCM of 567 and 573
- LCM of 567 and 574
- LCM of 567 and 575
- LCM of 567 and 576
- LCM of 567 and 577
- LCM of 567 and 578
- LCM of 567 and 579
- LCM of 567 and 580
- LCM of 567 and 581
- LCM of 567 and 582
- LCM of 567 and 583
- LCM of 567 and 584
- LCM of 567 and 585
- LCM of 567 and 586
- LCM of 567 and 587
Related Least Common Multiples of 585
- LCM of 585 and 589
- LCM of 585 and 590
- LCM of 585 and 591
- LCM of 585 and 592
- LCM of 585 and 593
- LCM of 585 and 594
- LCM of 585 and 595
- LCM of 585 and 596
- LCM of 585 and 597
- LCM of 585 and 598
- LCM of 585 and 599
- LCM of 585 and 600
- LCM of 585 and 601
- LCM of 585 and 602
- LCM of 585 and 603
- LCM of 585 and 604
- LCM of 585 and 605