What is the Least Common Multiple of 525 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 525 and 537 is 93975.
LCM(525,537) = 93975
Least Common Multiple of 525 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 525 and 537, than apply into the LCM equation.
GCF(525,537) = 3
LCM(525,537) = ( 525 × 537) / 3
LCM(525,537) = 281925 / 3
LCM(525,537) = 93975
Least Common Multiple (LCM) of 525 and 537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 525 and 537. First we will calculate the prime factors of 525 and 537.
Prime Factorization of 525
Prime factors of 525 are 3, 5, 7. Prime factorization of 525 in exponential form is:
525 = 31 × 52 × 71
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 525 and 537.
LCM(525,537) = 31 × 52 × 71 × 1791
LCM(525,537) = 93975
Related Least Common Multiples of 525
- LCM of 525 and 529
- LCM of 525 and 530
- LCM of 525 and 531
- LCM of 525 and 532
- LCM of 525 and 533
- LCM of 525 and 534
- LCM of 525 and 535
- LCM of 525 and 536
- LCM of 525 and 537
- LCM of 525 and 538
- LCM of 525 and 539
- LCM of 525 and 540
- LCM of 525 and 541
- LCM of 525 and 542
- LCM of 525 and 543
- LCM of 525 and 544
- LCM of 525 and 545
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