Least Common Multiple (LCM) of 103 and 136
The least common multiple (LCM) of 103 and 136 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 103 and 136?
First, calculate the GCD of 103 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 136 = 0 remainder 103 |
| 2 | 136 ÷ 103 = 1 remainder 33 |
| 3 | 103 ÷ 33 = 3 remainder 4 |
| 4 | 33 ÷ 4 = 8 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 155 | 15810 |
| 165 and 11 | 165 |
| 59 and 167 | 9853 |
| 24 and 140 | 840 |
| 45 and 179 | 8055 |