What is the Least Common Multiple of 548 and 558?
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 558 is 152892.
LCM(548,558) = 152892
Least Common Multiple of 548 and 558 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 558, than apply into the LCM equation.
GCF(548,558) = 2
LCM(548,558) = ( 548 × 558) / 2
LCM(548,558) = 305784 / 2
LCM(548,558) = 152892
Least Common Multiple (LCM) of 548 and 558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 558. First we will calculate the prime factors of 548 and 558.
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 558
Prime factors of 558 are 2, 3, 31. Prime factorization of 558 in exponential form is:
558 = 21 × 32 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 558.
LCM(548,558) = 22 × 1371 × 32 × 311
LCM(548,558) = 152892
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 558
- LCM of 558 and 562
- LCM of 558 and 563
- LCM of 558 and 564
- LCM of 558 and 565
- LCM of 558 and 566
- LCM of 558 and 567
- LCM of 558 and 568
- LCM of 558 and 569
- LCM of 558 and 570
- LCM of 558 and 571
- LCM of 558 and 572
- LCM of 558 and 573
- LCM of 558 and 574
- LCM of 558 and 575
- LCM of 558 and 576
- LCM of 558 and 577
- LCM of 558 and 578