Least Common Multiple (LCM) of 134 and 121
The least common multiple (LCM) of 134 and 121 is 16214.
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 134 and 121?
First, calculate the GCD of 134 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 121 = 1 remainder 13 |
| 2 | 121 ÷ 13 = 9 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 127 | 13335 |
| 102 and 167 | 17034 |
| 132 and 23 | 3036 |
| 98 and 155 | 15190 |
| 38 and 72 | 1368 |