What is the Least Common Multiple of 543 and 547?
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 543 and 547 is 297021.
LCM(543,547) = 297021
Least Common Multiple of 543 and 547 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 543 and 547, than apply into the LCM equation.
GCF(543,547) = 1
LCM(543,547) = ( 543 × 547) / 1
LCM(543,547) = 297021 / 1
LCM(543,547) = 297021
Least Common Multiple (LCM) of 543 and 547 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 543 and 547. First we will calculate the prime factors of 543 and 547.
Prime Factorization of 543
Prime factors of 543 are 3, 181. Prime factorization of 543 in exponential form is:
543 = 31 × 1811
Prime Factorization of 547
Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:
547 = 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 543 and 547.
LCM(543,547) = 31 × 1811 × 5471
LCM(543,547) = 297021
Related Least Common Multiples of 543
- LCM of 543 and 547
- LCM of 543 and 548
- LCM of 543 and 549
- LCM of 543 and 550
- LCM of 543 and 551
- LCM of 543 and 552
- LCM of 543 and 553
- LCM of 543 and 554
- LCM of 543 and 555
- LCM of 543 and 556
- LCM of 543 and 557
- LCM of 543 and 558
- LCM of 543 and 559
- LCM of 543 and 560
- LCM of 543 and 561
- LCM of 543 and 562
- LCM of 543 and 563
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