Least Common Multiple (LCM) of 136 and 154
The least common multiple (LCM) of 136 and 154 is 10472.
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 154?
First, calculate the GCD of 136 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 154 = 0 remainder 136 |
| 2 | 154 ÷ 136 = 1 remainder 18 |
| 3 | 136 ÷ 18 = 7 remainder 10 |
| 4 | 18 ÷ 10 = 1 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 135 | 7830 |
| 22 and 136 | 1496 |
| 115 and 74 | 8510 |
| 42 and 65 | 2730 |
| 164 and 187 | 30668 |