Least Common Multiple (LCM) of 175 and 136
The least common multiple (LCM) of 175 and 136 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 175 and 136?
First, calculate the GCD of 175 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 136 = 1 remainder 39 |
| 2 | 136 ÷ 39 = 3 remainder 19 |
| 3 | 39 ÷ 19 = 2 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 100 | 3300 |
| 156 and 66 | 1716 |
| 117 and 188 | 21996 |
| 106 and 112 | 5936 |
| 163 and 163 | 163 |