What is the Least Common Multiple of 548 and 567?
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 548 and 567 is 310716.
LCM(548,567) = 310716
Least Common Multiple of 548 and 567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 548 and 567, than apply into the LCM equation.
GCF(548,567) = 1
LCM(548,567) = ( 548 × 567) / 1
LCM(548,567) = 310716 / 1
LCM(548,567) = 310716
Least Common Multiple (LCM) of 548 and 567 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 567. First we will calculate the prime factors of 548 and 567.
Prime Factorization of 548
Prime factors of 548 are 2, 137. Prime factorization of 548 in exponential form is:
548 = 22 × 1371
Prime Factorization of 567
Prime factors of 567 are 3, 7. Prime factorization of 567 in exponential form is:
567 = 34 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 567.
LCM(548,567) = 22 × 1371 × 34 × 71
LCM(548,567) = 310716
Related Least Common Multiples of 548
- LCM of 548 and 552
- LCM of 548 and 553
- LCM of 548 and 554
- LCM of 548 and 555
- LCM of 548 and 556
- LCM of 548 and 557
- LCM of 548 and 558
- LCM of 548 and 559
- LCM of 548 and 560
- LCM of 548 and 561
- LCM of 548 and 562
- LCM of 548 and 563
- LCM of 548 and 564
- LCM of 548 and 565
- LCM of 548 and 566
- LCM of 548 and 567
- LCM of 548 and 568
Related Least Common Multiples of 567
- LCM of 567 and 571
- LCM of 567 and 572
- LCM of 567 and 573
- LCM of 567 and 574
- LCM of 567 and 575
- LCM of 567 and 576
- LCM of 567 and 577
- LCM of 567 and 578
- LCM of 567 and 579
- LCM of 567 and 580
- LCM of 567 and 581
- LCM of 567 and 582
- LCM of 567 and 583
- LCM of 567 and 584
- LCM of 567 and 585
- LCM of 567 and 586
- LCM of 567 and 587