Least Common Multiple (LCM) of 155 and 139
The least common multiple (LCM) of 155 and 139 is 21545.
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 155 and 139?
First, calculate the GCD of 155 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 139 = 1 remainder 16 |
| 2 | 139 ÷ 16 = 8 remainder 11 |
| 3 | 16 ÷ 11 = 1 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 116 | 17980 |
| 17 and 124 | 2108 |
| 193 and 151 | 29143 |
| 124 and 81 | 10044 |
| 83 and 155 | 12865 |