What is the Least Common Multiple of 546 and 566?
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 546 and 566 is 154518.
LCM(546,566) = 154518
Least Common Multiple of 546 and 566 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 546 and 566, than apply into the LCM equation.
GCF(546,566) = 2
LCM(546,566) = ( 546 × 566) / 2
LCM(546,566) = 309036 / 2
LCM(546,566) = 154518
Least Common Multiple (LCM) of 546 and 566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 566. First we will calculate the prime factors of 546 and 566.
Prime Factorization of 546
Prime factors of 546 are 2, 3, 7, 13. Prime factorization of 546 in exponential form is:
546 = 21 × 31 × 71 × 131
Prime Factorization of 566
Prime factors of 566 are 2, 283. Prime factorization of 566 in exponential form is:
566 = 21 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 546 and 566.
LCM(546,566) = 21 × 31 × 71 × 131 × 2831
LCM(546,566) = 154518
Related Least Common Multiples of 546
- LCM of 546 and 550
- LCM of 546 and 551
- LCM of 546 and 552
- LCM of 546 and 553
- LCM of 546 and 554
- LCM of 546 and 555
- LCM of 546 and 556
- LCM of 546 and 557
- LCM of 546 and 558
- LCM of 546 and 559
- LCM of 546 and 560
- LCM of 546 and 561
- LCM of 546 and 562
- LCM of 546 and 563
- LCM of 546 and 564
- LCM of 546 and 565
- LCM of 546 and 566
Related Least Common Multiples of 566
- LCM of 566 and 570
- LCM of 566 and 571
- LCM of 566 and 572
- LCM of 566 and 573
- LCM of 566 and 574
- LCM of 566 and 575
- LCM of 566 and 576
- LCM of 566 and 577
- LCM of 566 and 578
- LCM of 566 and 579
- LCM of 566 and 580
- LCM of 566 and 581
- LCM of 566 and 582
- LCM of 566 and 583
- LCM of 566 and 584
- LCM of 566 and 585
- LCM of 566 and 586