Least Common Multiple (LCM) of 169 and 136
The least common multiple (LCM) of 169 and 136 is 22984.
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 169 and 136?
First, calculate the GCD of 169 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 136 = 1 remainder 33 |
| 2 | 136 ÷ 33 = 4 remainder 4 |
| 3 | 33 ÷ 4 = 8 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 112 | 9968 |
| 187 and 107 | 20009 |
| 65 and 37 | 2405 |
| 173 and 98 | 16954 |
| 12 and 42 | 84 |