Least Common Multiple (LCM) of 155 and 126
The least common multiple (LCM) of 155 and 126 is 19530.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 155 and 126?
First, calculate the GCD of 155 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 126 = 1 remainder 29 |
| 2 | 126 ÷ 29 = 4 remainder 10 |
| 3 | 29 ÷ 10 = 2 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 22 | 792 |
| 77 and 174 | 13398 |
| 113 and 74 | 8362 |
| 109 and 191 | 20819 |
| 67 and 90 | 6030 |