What is the Least Common Multiple of 526 and 542?
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 526 and 542 is 142546.
LCM(526,542) = 142546
Least Common Multiple of 526 and 542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 526 and 542, than apply into the LCM equation.
GCF(526,542) = 2
LCM(526,542) = ( 526 × 542) / 2
LCM(526,542) = 285092 / 2
LCM(526,542) = 142546
Least Common Multiple (LCM) of 526 and 542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 526 and 542. First we will calculate the prime factors of 526 and 542.
Prime Factorization of 526
Prime factors of 526 are 2, 263. Prime factorization of 526 in exponential form is:
526 = 21 × 2631
Prime Factorization of 542
Prime factors of 542 are 2, 271. Prime factorization of 542 in exponential form is:
542 = 21 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 526 and 542.
LCM(526,542) = 21 × 2631 × 2711
LCM(526,542) = 142546
Related Least Common Multiples of 526
- LCM of 526 and 530
- LCM of 526 and 531
- LCM of 526 and 532
- LCM of 526 and 533
- LCM of 526 and 534
- LCM of 526 and 535
- LCM of 526 and 536
- LCM of 526 and 537
- LCM of 526 and 538
- LCM of 526 and 539
- LCM of 526 and 540
- LCM of 526 and 541
- LCM of 526 and 542
- LCM of 526 and 543
- LCM of 526 and 544
- LCM of 526 and 545
- LCM of 526 and 546
Related Least Common Multiples of 542
- LCM of 542 and 546
- LCM of 542 and 547
- LCM of 542 and 548
- LCM of 542 and 549
- LCM of 542 and 550
- LCM of 542 and 551
- LCM of 542 and 552
- LCM of 542 and 553
- LCM of 542 and 554
- LCM of 542 and 555
- LCM of 542 and 556
- LCM of 542 and 557
- LCM of 542 and 558
- LCM of 542 and 559
- LCM of 542 and 560
- LCM of 542 and 561
- LCM of 542 and 562