What is the Least Common Multiple of 518 and 535?
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 518 and 535 is 277130.
LCM(518,535) = 277130
Least Common Multiple of 518 and 535 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 518 and 535, than apply into the LCM equation.
GCF(518,535) = 1
LCM(518,535) = ( 518 × 535) / 1
LCM(518,535) = 277130 / 1
LCM(518,535) = 277130
Least Common Multiple (LCM) of 518 and 535 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 518 and 535. First we will calculate the prime factors of 518 and 535.
Prime Factorization of 518
Prime factors of 518 are 2, 7, 37. Prime factorization of 518 in exponential form is:
518 = 21 × 71 × 371
Prime Factorization of 535
Prime factors of 535 are 5, 107. Prime factorization of 535 in exponential form is:
535 = 51 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 518 and 535.
LCM(518,535) = 21 × 71 × 371 × 51 × 1071
LCM(518,535) = 277130
Related Least Common Multiples of 518
- LCM of 518 and 522
- LCM of 518 and 523
- LCM of 518 and 524
- LCM of 518 and 525
- LCM of 518 and 526
- LCM of 518 and 527
- LCM of 518 and 528
- LCM of 518 and 529
- LCM of 518 and 530
- LCM of 518 and 531
- LCM of 518 and 532
- LCM of 518 and 533
- LCM of 518 and 534
- LCM of 518 and 535
- LCM of 518 and 536
- LCM of 518 and 537
- LCM of 518 and 538
Related Least Common Multiples of 535
- LCM of 535 and 539
- LCM of 535 and 540
- LCM of 535 and 541
- LCM of 535 and 542
- LCM of 535 and 543
- LCM of 535 and 544
- LCM of 535 and 545
- LCM of 535 and 546
- LCM of 535 and 547
- LCM of 535 and 548
- LCM of 535 and 549
- LCM of 535 and 550
- LCM of 535 and 551
- LCM of 535 and 552
- LCM of 535 and 553
- LCM of 535 and 554
- LCM of 535 and 555