Least Common Multiple (LCM) of 139 and 79
The least common multiple (LCM) of 139 and 79 is 10981.
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 139 and 79?
First, calculate the GCD of 139 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 79 = 1 remainder 60 |
| 2 | 79 ÷ 60 = 1 remainder 19 |
| 3 | 60 ÷ 19 = 3 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 50 | 4550 |
| 180 and 198 | 1980 |
| 149 and 159 | 23691 |
| 198 and 157 | 31086 |
| 118 and 29 | 3422 |