What is the Least Common Multiple of 522 and 537?
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 522 and 537 is 93438.
LCM(522,537) = 93438
Least Common Multiple of 522 and 537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 522 and 537, than apply into the LCM equation.
GCF(522,537) = 3
LCM(522,537) = ( 522 × 537) / 3
LCM(522,537) = 280314 / 3
LCM(522,537) = 93438
Least Common Multiple (LCM) of 522 and 537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 522 and 537. First we will calculate the prime factors of 522 and 537.
Prime Factorization of 522
Prime factors of 522 are 2, 3, 29. Prime factorization of 522 in exponential form is:
522 = 21 × 32 × 291
Prime Factorization of 537
Prime factors of 537 are 3, 179. Prime factorization of 537 in exponential form is:
537 = 31 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 522 and 537.
LCM(522,537) = 21 × 32 × 291 × 1791
LCM(522,537) = 93438
Related Least Common Multiples of 522
- LCM of 522 and 526
- LCM of 522 and 527
- LCM of 522 and 528
- LCM of 522 and 529
- LCM of 522 and 530
- LCM of 522 and 531
- LCM of 522 and 532
- LCM of 522 and 533
- LCM of 522 and 534
- LCM of 522 and 535
- LCM of 522 and 536
- LCM of 522 and 537
- LCM of 522 and 538
- LCM of 522 and 539
- LCM of 522 and 540
- LCM of 522 and 541
- LCM of 522 and 542
Related Least Common Multiples of 537
- LCM of 537 and 541
- LCM of 537 and 542
- LCM of 537 and 543
- LCM of 537 and 544
- LCM of 537 and 545
- LCM of 537 and 546
- LCM of 537 and 547
- LCM of 537 and 548
- LCM of 537 and 549
- LCM of 537 and 550
- LCM of 537 and 551
- LCM of 537 and 552
- LCM of 537 and 553
- LCM of 537 and 554
- LCM of 537 and 555
- LCM of 537 and 556
- LCM of 537 and 557