What is the Least Common Multiple of 542 and 549?
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 542 and 549 is 297558.
LCM(542,549) = 297558
Least Common Multiple of 542 and 549 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 542 and 549, than apply into the LCM equation.
GCF(542,549) = 1
LCM(542,549) = ( 542 × 549) / 1
LCM(542,549) = 297558 / 1
LCM(542,549) = 297558
Least Common Multiple (LCM) of 542 and 549 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 549. First we will calculate the prime factors of 542 and 549.
Prime Factorization of 542
Prime factors of 542 are 2, 271. Prime factorization of 542 in exponential form is:
542 = 21 × 2711
Prime Factorization of 549
Prime factors of 549 are 3, 61. Prime factorization of 549 in exponential form is:
549 = 32 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 542 and 549.
LCM(542,549) = 21 × 2711 × 32 × 611
LCM(542,549) = 297558
Related Least Common Multiples of 542
- LCM of 542 and 546
- LCM of 542 and 547
- LCM of 542 and 548
- LCM of 542 and 549
- LCM of 542 and 550
- LCM of 542 and 551
- LCM of 542 and 552
- LCM of 542 and 553
- LCM of 542 and 554
- LCM of 542 and 555
- LCM of 542 and 556
- LCM of 542 and 557
- LCM of 542 and 558
- LCM of 542 and 559
- LCM of 542 and 560
- LCM of 542 and 561
- LCM of 542 and 562
Related Least Common Multiples of 549
- LCM of 549 and 553
- LCM of 549 and 554
- LCM of 549 and 555
- LCM of 549 and 556
- LCM of 549 and 557
- LCM of 549 and 558
- LCM of 549 and 559
- LCM of 549 and 560
- LCM of 549 and 561
- LCM of 549 and 562
- LCM of 549 and 563
- LCM of 549 and 564
- LCM of 549 and 565
- LCM of 549 and 566
- LCM of 549 and 567
- LCM of 549 and 568
- LCM of 549 and 569