Least Common Multiple (LCM) of 136 and 69
The least common multiple (LCM) of 136 and 69 is 9384.
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 69?
First, calculate the GCD of 136 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 69 = 1 remainder 67 |
| 2 | 69 ÷ 67 = 1 remainder 2 |
| 3 | 67 ÷ 2 = 33 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 124 | 1984 |
| 137 and 106 | 14522 |
| 85 and 169 | 14365 |
| 152 and 172 | 6536 |
| 61 and 125 | 7625 |