Least Common Multiple (LCM) of 155 and 71
The least common multiple (LCM) of 155 and 71 is 11005.
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 71?
First, calculate the GCD of 155 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 71 = 2 remainder 13 |
| 2 | 71 ÷ 13 = 5 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 110 | 2970 |
| 182 and 80 | 7280 |
| 44 and 195 | 8580 |
| 182 and 195 | 2730 |
| 132 and 97 | 12804 |