Least Common Multiple (LCM) of 155 and 167
The least common multiple (LCM) of 155 and 167 is 25885.
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 167?
First, calculate the GCD of 155 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 167 = 0 remainder 155 |
| 2 | 167 ÷ 155 = 1 remainder 12 |
| 3 | 155 ÷ 12 = 12 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 53 | 1749 |
| 165 and 142 | 23430 |
| 78 and 83 | 6474 |
| 125 and 158 | 19750 |
| 49 and 109 | 5341 |