Least Common Multiple (LCM) of 167 and 155
The least common multiple (LCM) of 167 and 155 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 167 and 155?
First, calculate the GCD of 167 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 155 = 1 remainder 12 |
| 2 | 155 ÷ 12 = 12 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 91 | 4823 |
| 57 and 65 | 3705 |
| 108 and 157 | 16956 |
| 20 and 158 | 1580 |
| 30 and 169 | 5070 |