Least Common Multiple (LCM) of 136 and 117
The least common multiple (LCM) of 136 and 117 is 15912.
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 117?
First, calculate the GCD of 136 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 117 = 1 remainder 19 |
| 2 | 117 ÷ 19 = 6 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 138 | 7866 |
| 197 and 162 | 31914 |
| 20 and 173 | 3460 |
| 199 and 107 | 21293 |
| 168 and 170 | 14280 |