What is the Least Common Multiple of 576 and 589?
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 576 and 589 is 339264.
LCM(576,589) = 339264
Least Common Multiple of 576 and 589 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 576 and 589, than apply into the LCM equation.
GCF(576,589) = 1
LCM(576,589) = ( 576 × 589) / 1
LCM(576,589) = 339264 / 1
LCM(576,589) = 339264
Least Common Multiple (LCM) of 576 and 589 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 576 and 589. First we will calculate the prime factors of 576 and 589.
Prime Factorization of 576
Prime factors of 576 are 2, 3. Prime factorization of 576 in exponential form is:
576 = 26 × 32
Prime Factorization of 589
Prime factors of 589 are 19, 31. Prime factorization of 589 in exponential form is:
589 = 191 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 576 and 589.
LCM(576,589) = 26 × 32 × 191 × 311
LCM(576,589) = 339264
Related Least Common Multiples of 576
- LCM of 576 and 580
- LCM of 576 and 581
- LCM of 576 and 582
- LCM of 576 and 583
- LCM of 576 and 584
- LCM of 576 and 585
- LCM of 576 and 586
- LCM of 576 and 587
- LCM of 576 and 588
- LCM of 576 and 589
- LCM of 576 and 590
- LCM of 576 and 591
- LCM of 576 and 592
- LCM of 576 and 593
- LCM of 576 and 594
- LCM of 576 and 595
- LCM of 576 and 596
Related Least Common Multiples of 589
- LCM of 589 and 593
- LCM of 589 and 594
- LCM of 589 and 595
- LCM of 589 and 596
- LCM of 589 and 597
- LCM of 589 and 598
- LCM of 589 and 599
- LCM of 589 and 600
- LCM of 589 and 601
- LCM of 589 and 602
- LCM of 589 and 603
- LCM of 589 and 604
- LCM of 589 and 605
- LCM of 589 and 606
- LCM of 589 and 607
- LCM of 589 and 608
- LCM of 589 and 609