Least Common Multiple (LCM) of 136 and 171
The least common multiple (LCM) of 136 and 171 is 23256.
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 136 and 171?
First, calculate the GCD of 136 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 171 = 0 remainder 136 |
| 2 | 171 ÷ 136 = 1 remainder 35 |
| 3 | 136 ÷ 35 = 3 remainder 31 |
| 4 | 35 ÷ 31 = 1 remainder 4 |
| 5 | 31 ÷ 4 = 7 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 198 | 34650 |
| 108 and 128 | 3456 |
| 87 and 136 | 11832 |
| 60 and 17 | 1020 |
| 55 and 111 | 6105 |