What is the Least Common Multiple of 533 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 533 and 540 is 287820.
LCM(533,540) = 287820
Least Common Multiple of 533 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 533 and 540, than apply into the LCM equation.
GCF(533,540) = 1
LCM(533,540) = ( 533 × 540) / 1
LCM(533,540) = 287820 / 1
LCM(533,540) = 287820
Least Common Multiple (LCM) of 533 and 540 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 533 and 540. First we will calculate the prime factors of 533 and 540.
Prime Factorization of 533
Prime factors of 533 are 13, 41. Prime factorization of 533 in exponential form is:
533 = 131 × 411
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 533 and 540.
LCM(533,540) = 131 × 411 × 22 × 33 × 51
LCM(533,540) = 287820
Related Least Common Multiples of 533
- LCM of 533 and 537
- LCM of 533 and 538
- LCM of 533 and 539
- LCM of 533 and 540
- LCM of 533 and 541
- LCM of 533 and 542
- LCM of 533 and 543
- LCM of 533 and 544
- LCM of 533 and 545
- LCM of 533 and 546
- LCM of 533 and 547
- LCM of 533 and 548
- LCM of 533 and 549
- LCM of 533 and 550
- LCM of 533 and 551
- LCM of 533 and 552
- LCM of 533 and 553
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