Least Common Multiple (LCM) of 136 and 169
The least common multiple (LCM) of 136 and 169 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 136 and 169?
First, calculate the GCD of 136 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 169 = 0 remainder 136 |
| 2 | 169 ÷ 136 = 1 remainder 33 |
| 3 | 136 ÷ 33 = 4 remainder 4 |
| 4 | 33 ÷ 4 = 8 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 48 | 6576 |
| 45 and 111 | 1665 |
| 177 and 16 | 2832 |
| 122 and 24 | 1464 |
| 113 and 69 | 7797 |