Least Common Multiple (LCM) of 136 and 49
The least common multiple (LCM) of 136 and 49 is 6664.
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 49?
First, calculate the GCD of 136 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 49 = 2 remainder 38 |
| 2 | 49 ÷ 38 = 1 remainder 11 |
| 3 | 38 ÷ 11 = 3 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 32 | 1952 |
| 46 and 172 | 3956 |
| 162 and 129 | 6966 |
| 116 and 103 | 11948 |
| 125 and 33 | 4125 |