Least Common Multiple (LCM) of 139 and 40
The least common multiple (LCM) of 139 and 40 is 5560.
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 40?
First, calculate the GCD of 139 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 40 = 3 remainder 19 |
| 2 | 40 ÷ 19 = 2 remainder 2 |
| 3 | 19 ÷ 2 = 9 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 25 | 1050 |
| 34 and 56 | 952 |
| 162 and 28 | 2268 |
| 58 and 130 | 3770 |
| 113 and 157 | 17741 |