What is the Least Common Multiple of 547 and 563?
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 547 and 563 is 307961.
LCM(547,563) = 307961
Least Common Multiple of 547 and 563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 547 and 563, than apply into the LCM equation.
GCF(547,563) = 1
LCM(547,563) = ( 547 × 563) / 1
LCM(547,563) = 307961 / 1
LCM(547,563) = 307961
Least Common Multiple (LCM) of 547 and 563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 547 and 563. First we will calculate the prime factors of 547 and 563.
Prime Factorization of 547
Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:
547 = 5471
Prime Factorization of 563
Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:
563 = 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 547 and 563.
LCM(547,563) = 5471 × 5631
LCM(547,563) = 307961
Related Least Common Multiples of 547
- LCM of 547 and 551
- LCM of 547 and 552
- LCM of 547 and 553
- LCM of 547 and 554
- LCM of 547 and 555
- LCM of 547 and 556
- LCM of 547 and 557
- LCM of 547 and 558
- LCM of 547 and 559
- LCM of 547 and 560
- LCM of 547 and 561
- LCM of 547 and 562
- LCM of 547 and 563
- LCM of 547 and 564
- LCM of 547 and 565
- LCM of 547 and 566
- LCM of 547 and 567
Related Least Common Multiples of 563
- LCM of 563 and 567
- LCM of 563 and 568
- LCM of 563 and 569
- LCM of 563 and 570
- LCM of 563 and 571
- LCM of 563 and 572
- LCM of 563 and 573
- LCM of 563 and 574
- LCM of 563 and 575
- LCM of 563 and 576
- LCM of 563 and 577
- LCM of 563 and 578
- LCM of 563 and 579
- LCM of 563 and 580
- LCM of 563 and 581
- LCM of 563 and 582
- LCM of 563 and 583