Least Common Multiple (LCM) of 139 and 69
The least common multiple (LCM) of 139 and 69 is 9591.
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 69?
First, calculate the GCD of 139 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 69 = 2 remainder 1 |
| 2 | 69 ÷ 1 = 69 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 92 | 1564 |
| 55 and 178 | 9790 |
| 200 and 111 | 22200 |
| 177 and 60 | 3540 |
| 40 and 168 | 840 |