What is the Least Common Multiple of 530 and 549?
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 530 and 549 is 290970.
LCM(530,549) = 290970
Least Common Multiple of 530 and 549 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 530 and 549, than apply into the LCM equation.
GCF(530,549) = 1
LCM(530,549) = ( 530 × 549) / 1
LCM(530,549) = 290970 / 1
LCM(530,549) = 290970
Least Common Multiple (LCM) of 530 and 549 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 530 and 549. First we will calculate the prime factors of 530 and 549.
Prime Factorization of 530
Prime factors of 530 are 2, 5, 53. Prime factorization of 530 in exponential form is:
530 = 21 × 51 × 531
Prime Factorization of 549
Prime factors of 549 are 3, 61. Prime factorization of 549 in exponential form is:
549 = 32 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 530 and 549.
LCM(530,549) = 21 × 51 × 531 × 32 × 611
LCM(530,549) = 290970
Related Least Common Multiples of 530
- LCM of 530 and 534
- LCM of 530 and 535
- LCM of 530 and 536
- LCM of 530 and 537
- LCM of 530 and 538
- LCM of 530 and 539
- LCM of 530 and 540
- LCM of 530 and 541
- LCM of 530 and 542
- LCM of 530 and 543
- LCM of 530 and 544
- LCM of 530 and 545
- LCM of 530 and 546
- LCM of 530 and 547
- LCM of 530 and 548
- LCM of 530 and 549
- LCM of 530 and 550
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