Least Common Multiple (LCM) of 121 and 140
The least common multiple (LCM) of 121 and 140 is 16940.
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 140?
First, calculate the GCD of 121 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 140 = 0 remainder 121 |
| 2 | 140 ÷ 121 = 1 remainder 19 |
| 3 | 121 ÷ 19 = 6 remainder 7 |
| 4 | 19 ÷ 7 = 2 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 120 | 1560 |
| 153 and 91 | 13923 |
| 62 and 137 | 8494 |
| 200 and 129 | 25800 |
| 105 and 72 | 2520 |