Least Common Multiple (LCM) of 155 and 187
The least common multiple (LCM) of 155 and 187 is 28985.
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 187?
First, calculate the GCD of 155 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 187 = 0 remainder 155 |
| 2 | 187 ÷ 155 = 1 remainder 32 |
| 3 | 155 ÷ 32 = 4 remainder 27 |
| 4 | 32 ÷ 27 = 1 remainder 5 |
| 5 | 27 ÷ 5 = 5 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 176 | 12144 |
| 41 and 69 | 2829 |
| 144 and 14 | 1008 |
| 134 and 112 | 7504 |
| 100 and 112 | 2800 |