What is the Least Common Multiple of 550 and 560?
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 550 and 560 is 30800.
LCM(550,560) = 30800
Least Common Multiple of 550 and 560 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 550 and 560, than apply into the LCM equation.
GCF(550,560) = 10
LCM(550,560) = ( 550 × 560) / 10
LCM(550,560) = 308000 / 10
LCM(550,560) = 30800
Least Common Multiple (LCM) of 550 and 560 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 550 and 560. First we will calculate the prime factors of 550 and 560.
Prime Factorization of 550
Prime factors of 550 are 2, 5, 11. Prime factorization of 550 in exponential form is:
550 = 21 × 52 × 111
Prime Factorization of 560
Prime factors of 560 are 2, 5, 7. Prime factorization of 560 in exponential form is:
560 = 24 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 550 and 560.
LCM(550,560) = 24 × 52 × 111 × 71
LCM(550,560) = 30800
Related Least Common Multiples of 550
- LCM of 550 and 554
- LCM of 550 and 555
- LCM of 550 and 556
- LCM of 550 and 557
- LCM of 550 and 558
- LCM of 550 and 559
- LCM of 550 and 560
- LCM of 550 and 561
- LCM of 550 and 562
- LCM of 550 and 563
- LCM of 550 and 564
- LCM of 550 and 565
- LCM of 550 and 566
- LCM of 550 and 567
- LCM of 550 and 568
- LCM of 550 and 569
- LCM of 550 and 570
Related Least Common Multiples of 560
- LCM of 560 and 564
- LCM of 560 and 565
- LCM of 560 and 566
- LCM of 560 and 567
- LCM of 560 and 568
- LCM of 560 and 569
- LCM of 560 and 570
- LCM of 560 and 571
- LCM of 560 and 572
- LCM of 560 and 573
- LCM of 560 and 574
- LCM of 560 and 575
- LCM of 560 and 576
- LCM of 560 and 577
- LCM of 560 and 578
- LCM of 560 and 579
- LCM of 560 and 580