Least Common Multiple (LCM) of 136 and 121
The least common multiple (LCM) of 136 and 121 is 16456.
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 121?
First, calculate the GCD of 136 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 121 = 1 remainder 15 |
| 2 | 121 ÷ 15 = 8 remainder 1 |
| 3 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 72 | 11592 |
| 59 and 63 | 3717 |
| 200 and 142 | 14200 |
| 106 and 51 | 5406 |
| 123 and 24 | 984 |