What is the Least Common Multiple of 538 and 550?
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 538 and 550 is 147950.
LCM(538,550) = 147950
Least Common Multiple of 538 and 550 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 538 and 550, than apply into the LCM equation.
GCF(538,550) = 2
LCM(538,550) = ( 538 × 550) / 2
LCM(538,550) = 295900 / 2
LCM(538,550) = 147950
Least Common Multiple (LCM) of 538 and 550 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 550. First we will calculate the prime factors of 538 and 550.
Prime Factorization of 538
Prime factors of 538 are 2, 269. Prime factorization of 538 in exponential form is:
538 = 21 × 2691
Prime Factorization of 550
Prime factors of 550 are 2, 5, 11. Prime factorization of 550 in exponential form is:
550 = 21 × 52 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 538 and 550.
LCM(538,550) = 21 × 2691 × 52 × 111
LCM(538,550) = 147950
Related Least Common Multiples of 538
- LCM of 538 and 542
- LCM of 538 and 543
- LCM of 538 and 544
- LCM of 538 and 545
- LCM of 538 and 546
- LCM of 538 and 547
- LCM of 538 and 548
- LCM of 538 and 549
- LCM of 538 and 550
- LCM of 538 and 551
- LCM of 538 and 552
- LCM of 538 and 553
- LCM of 538 and 554
- LCM of 538 and 555
- LCM of 538 and 556
- LCM of 538 and 557
- LCM of 538 and 558
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