Least Common Multiple (LCM) of 119 and 139
The least common multiple (LCM) of 119 and 139 is 16541.
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 119 and 139?
First, calculate the GCD of 119 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 139 = 0 remainder 119 |
| 2 | 139 ÷ 119 = 1 remainder 20 |
| 3 | 119 ÷ 20 = 5 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 154 | 1694 |
| 187 and 200 | 37400 |
| 135 and 17 | 2295 |
| 118 and 129 | 15222 |
| 76 and 147 | 11172 |