What is the Least Common Multiple of 523 and 539?
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 523 and 539 is 281897.
LCM(523,539) = 281897
Least Common Multiple of 523 and 539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 523 and 539, than apply into the LCM equation.
GCF(523,539) = 1
LCM(523,539) = ( 523 × 539) / 1
LCM(523,539) = 281897 / 1
LCM(523,539) = 281897
Least Common Multiple (LCM) of 523 and 539 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 523 and 539. First we will calculate the prime factors of 523 and 539.
Prime Factorization of 523
Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:
523 = 5231
Prime Factorization of 539
Prime factors of 539 are 7, 11. Prime factorization of 539 in exponential form is:
539 = 72 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 523 and 539.
LCM(523,539) = 5231 × 72 × 111
LCM(523,539) = 281897
Related Least Common Multiples of 523
- LCM of 523 and 527
- LCM of 523 and 528
- LCM of 523 and 529
- LCM of 523 and 530
- LCM of 523 and 531
- LCM of 523 and 532
- LCM of 523 and 533
- LCM of 523 and 534
- LCM of 523 and 535
- LCM of 523 and 536
- LCM of 523 and 537
- LCM of 523 and 538
- LCM of 523 and 539
- LCM of 523 and 540
- LCM of 523 and 541
- LCM of 523 and 542
- LCM of 523 and 543
Related Least Common Multiples of 539
- LCM of 539 and 543
- LCM of 539 and 544
- LCM of 539 and 545
- LCM of 539 and 546
- LCM of 539 and 547
- LCM of 539 and 548
- LCM of 539 and 549
- LCM of 539 and 550
- LCM of 539 and 551
- LCM of 539 and 552
- LCM of 539 and 553
- LCM of 539 and 554
- LCM of 539 and 555
- LCM of 539 and 556
- LCM of 539 and 557
- LCM of 539 and 558
- LCM of 539 and 559