What is the Least Common Multiple of 549 and 568?
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 549 and 568 is 311832.
LCM(549,568) = 311832
Least Common Multiple of 549 and 568 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 549 and 568, than apply into the LCM equation.
GCF(549,568) = 1
LCM(549,568) = ( 549 × 568) / 1
LCM(549,568) = 311832 / 1
LCM(549,568) = 311832
Least Common Multiple (LCM) of 549 and 568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 549 and 568. First we will calculate the prime factors of 549 and 568.
Prime Factorization of 549
Prime factors of 549 are 3, 61. Prime factorization of 549 in exponential form is:
549 = 32 × 611
Prime Factorization of 568
Prime factors of 568 are 2, 71. Prime factorization of 568 in exponential form is:
568 = 23 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 549 and 568.
LCM(549,568) = 32 × 611 × 23 × 711
LCM(549,568) = 311832
Related Least Common Multiples of 549
- LCM of 549 and 553
- LCM of 549 and 554
- LCM of 549 and 555
- LCM of 549 and 556
- LCM of 549 and 557
- LCM of 549 and 558
- LCM of 549 and 559
- LCM of 549 and 560
- LCM of 549 and 561
- LCM of 549 and 562
- LCM of 549 and 563
- LCM of 549 and 564
- LCM of 549 and 565
- LCM of 549 and 566
- LCM of 549 and 567
- LCM of 549 and 568
- LCM of 549 and 569
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