Least Common Multiple (LCM) of 14 and 136
The least common multiple (LCM) of 14 and 136 is 952.
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 14 and 136?
First, calculate the GCD of 14 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 136 = 0 remainder 14 |
| 2 | 136 ÷ 14 = 9 remainder 10 |
| 3 | 14 ÷ 10 = 1 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 48 | 5808 |
| 77 and 177 | 13629 |
| 115 and 91 | 10465 |
| 155 and 102 | 15810 |
| 91 and 31 | 2821 |