Least Common Multiple (LCM) of 155 and 188
The least common multiple (LCM) of 155 and 188 is 29140.
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 188?
First, calculate the GCD of 155 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 188 = 0 remainder 155 |
| 2 | 188 ÷ 155 = 1 remainder 33 |
| 3 | 155 ÷ 33 = 4 remainder 23 |
| 4 | 33 ÷ 23 = 1 remainder 10 |
| 5 | 23 ÷ 10 = 2 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 163 | 17930 |
| 199 and 18 | 3582 |
| 18 and 88 | 792 |
| 135 and 38 | 5130 |
| 21 and 13 | 273 |