Least Common Multiple (LCM) of 139 and 60
The least common multiple (LCM) of 139 and 60 is 8340.
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 60?
First, calculate the GCD of 139 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 60 = 2 remainder 19 |
| 2 | 60 ÷ 19 = 3 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 78 | 1560 |
| 177 and 45 | 2655 |
| 124 and 20 | 620 |
| 189 and 97 | 18333 |
| 123 and 31 | 3813 |