Least Common Multiple (LCM) of 121 and 139
The least common multiple (LCM) of 121 and 139 is 16819.
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 139?
First, calculate the GCD of 121 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 139 = 0 remainder 121 |
| 2 | 139 ÷ 121 = 1 remainder 18 |
| 3 | 121 ÷ 18 = 6 remainder 13 |
| 4 | 18 ÷ 13 = 1 remainder 5 |
| 5 | 13 ÷ 5 = 2 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 129 | 8772 |
| 158 and 91 | 14378 |
| 117 and 53 | 6201 |
| 158 and 67 | 10586 |
| 179 and 195 | 34905 |