Least Common Multiple (LCM) of 155 and 186
The least common multiple (LCM) of 155 and 186 is 930.
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 186?
First, calculate the GCD of 155 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 186 = 0 remainder 155 |
| 2 | 186 ÷ 155 = 1 remainder 31 |
| 3 | 155 ÷ 31 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 82 | 8938 |
| 38 and 101 | 3838 |
| 109 and 199 | 21691 |
| 191 and 152 | 29032 |
| 107 and 185 | 19795 |