Least Common Multiple (LCM) of 136 and 34
The least common multiple (LCM) of 136 and 34 is 136.
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 34?
First, calculate the GCD of 136 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 34 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 117 | 5148 |
| 120 and 37 | 4440 |
| 132 and 113 | 14916 |
| 120 and 138 | 2760 |
| 111 and 143 | 15873 |