Least Common Multiple (LCM) of 121 and 134
The least common multiple (LCM) of 121 and 134 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 121 and 134?
First, calculate the GCD of 121 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 134 = 0 remainder 121 |
| 2 | 134 ÷ 121 = 1 remainder 13 |
| 3 | 121 ÷ 13 = 9 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 146 | 19710 |
| 87 and 88 | 7656 |
| 101 and 107 | 10807 |
| 41 and 62 | 2542 |
| 173 and 30 | 5190 |