Least Common Multiple (LCM) of 171 and 139
The least common multiple (LCM) of 171 and 139 is 23769.
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 171 and 139?
First, calculate the GCD of 171 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 139 = 1 remainder 32 |
| 2 | 139 ÷ 32 = 4 remainder 11 |
| 3 | 32 ÷ 11 = 2 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 192 | 11328 |
| 196 and 105 | 2940 |
| 110 and 25 | 550 |
| 157 and 67 | 10519 |
| 57 and 49 | 2793 |