What is the Least Common Multiple of 531 and 540?
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 531 and 540 is 31860.
LCM(531,540) = 31860
Least Common Multiple of 531 and 540 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 531 and 540, than apply into the LCM equation.
GCF(531,540) = 9
LCM(531,540) = ( 531 × 540) / 9
LCM(531,540) = 286740 / 9
LCM(531,540) = 31860
Least Common Multiple (LCM) of 531 and 540 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 531 and 540. First we will calculate the prime factors of 531 and 540.
Prime Factorization of 531
Prime factors of 531 are 3, 59. Prime factorization of 531 in exponential form is:
531 = 32 × 591
Prime Factorization of 540
Prime factors of 540 are 2, 3, 5. Prime factorization of 540 in exponential form is:
540 = 22 × 33 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 531 and 540.
LCM(531,540) = 33 × 591 × 22 × 51
LCM(531,540) = 31860
Related Least Common Multiples of 531
- LCM of 531 and 535
- LCM of 531 and 536
- LCM of 531 and 537
- LCM of 531 and 538
- LCM of 531 and 539
- LCM of 531 and 540
- LCM of 531 and 541
- LCM of 531 and 542
- LCM of 531 and 543
- LCM of 531 and 544
- LCM of 531 and 545
- LCM of 531 and 546
- LCM of 531 and 547
- LCM of 531 and 548
- LCM of 531 and 549
- LCM of 531 and 550
- LCM of 531 and 551
Related Least Common Multiples of 540
- LCM of 540 and 544
- LCM of 540 and 545
- LCM of 540 and 546
- LCM of 540 and 547
- LCM of 540 and 548
- LCM of 540 and 549
- LCM of 540 and 550
- LCM of 540 and 551
- LCM of 540 and 552
- LCM of 540 and 553
- LCM of 540 and 554
- LCM of 540 and 555
- LCM of 540 and 556
- LCM of 540 and 557
- LCM of 540 and 558
- LCM of 540 and 559
- LCM of 540 and 560