Least Common Multiple (LCM) of 136 and 103
The least common multiple (LCM) of 136 and 103 is 14008.
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 103?
First, calculate the GCD of 136 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 103 = 1 remainder 33 |
| 2 | 103 ÷ 33 = 3 remainder 4 |
| 3 | 33 ÷ 4 = 8 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 58 | 5394 |
| 81 and 166 | 13446 |
| 161 and 62 | 9982 |
| 198 and 18 | 198 |
| 132 and 176 | 528 |