Least Common Multiple (LCM) of 136 and 175
The least common multiple (LCM) of 136 and 175 is 23800.
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 175?
First, calculate the GCD of 136 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 175 = 0 remainder 136 |
| 2 | 175 ÷ 136 = 1 remainder 39 |
| 3 | 136 ÷ 39 = 3 remainder 19 |
| 4 | 39 ÷ 19 = 2 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 95 | 570 |
| 31 and 16 | 496 |
| 197 and 53 | 10441 |
| 110 and 131 | 14410 |
| 110 and 159 | 17490 |