Least Common Multiple (LCM) of 155 and 191
The least common multiple (LCM) of 155 and 191 is 29605.
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 191?
First, calculate the GCD of 155 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 191 = 0 remainder 155 |
| 2 | 191 ÷ 155 = 1 remainder 36 |
| 3 | 155 ÷ 36 = 4 remainder 11 |
| 4 | 36 ÷ 11 = 3 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 80 | 4720 |
| 83 and 86 | 7138 |
| 146 and 164 | 11972 |
| 108 and 165 | 5940 |
| 67 and 44 | 2948 |