What is the Least Common Multiple of 585 and 596?
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 585 and 596 is 348660.
LCM(585,596) = 348660
Least Common Multiple of 585 and 596 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 585 and 596, than apply into the LCM equation.
GCF(585,596) = 1
LCM(585,596) = ( 585 × 596) / 1
LCM(585,596) = 348660 / 1
LCM(585,596) = 348660
Least Common Multiple (LCM) of 585 and 596 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 585 and 596. First we will calculate the prime factors of 585 and 596.
Prime Factorization of 585
Prime factors of 585 are 3, 5, 13. Prime factorization of 585 in exponential form is:
585 = 32 × 51 × 131
Prime Factorization of 596
Prime factors of 596 are 2, 149. Prime factorization of 596 in exponential form is:
596 = 22 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 585 and 596.
LCM(585,596) = 32 × 51 × 131 × 22 × 1491
LCM(585,596) = 348660
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
Related Least Common Multiples of 596
- LCM of 596 and 600
- LCM of 596 and 601
- LCM of 596 and 602
- LCM of 596 and 603
- LCM of 596 and 604
- LCM of 596 and 605
- LCM of 596 and 606
- LCM of 596 and 607
- LCM of 596 and 608
- LCM of 596 and 609
- LCM of 596 and 610
- LCM of 596 and 611
- LCM of 596 and 612
- LCM of 596 and 613
- LCM of 596 and 614
- LCM of 596 and 615
- LCM of 596 and 616