What is the Least Common Multiple of 540 and 559?
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 540 and 559 is 301860.
LCM(540,559) = 301860
Least Common Multiple of 540 and 559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 540 and 559, than apply into the LCM equation.
GCF(540,559) = 1
LCM(540,559) = ( 540 × 559) / 1
LCM(540,559) = 301860 / 1
LCM(540,559) = 301860
Least Common Multiple (LCM) of 540 and 559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 540 and 559. First we will calculate the prime factors of 540 and 559.
Prime Factorization of 540
Prime factors of 540 are 2, 3, 5. Prime factorization of 540 in exponential form is:
540 = 22 × 33 × 51
Prime Factorization of 559
Prime factors of 559 are 13, 43. Prime factorization of 559 in exponential form is:
559 = 131 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 540 and 559.
LCM(540,559) = 22 × 33 × 51 × 131 × 431
LCM(540,559) = 301860
Related Least Common Multiples of 540
- LCM of 540 and 544
- LCM of 540 and 545
- LCM of 540 and 546
- LCM of 540 and 547
- LCM of 540 and 548
- LCM of 540 and 549
- LCM of 540 and 550
- LCM of 540 and 551
- LCM of 540 and 552
- LCM of 540 and 553
- LCM of 540 and 554
- LCM of 540 and 555
- LCM of 540 and 556
- LCM of 540 and 557
- LCM of 540 and 558
- LCM of 540 and 559
- LCM of 540 and 560
Related Least Common Multiples of 559
- LCM of 559 and 563
- LCM of 559 and 564
- LCM of 559 and 565
- LCM of 559 and 566
- LCM of 559 and 567
- LCM of 559 and 568
- LCM of 559 and 569
- LCM of 559 and 570
- LCM of 559 and 571
- LCM of 559 and 572
- LCM of 559 and 573
- LCM of 559 and 574
- LCM of 559 and 575
- LCM of 559 and 576
- LCM of 559 and 577
- LCM of 559 and 578
- LCM of 559 and 579