Least Common Multiple (LCM) of 186 and 155
The least common multiple (LCM) of 186 and 155 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 186 and 155?
First, calculate the GCD of 186 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 155 = 1 remainder 31 |
| 2 | 155 ÷ 31 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 45 | 1845 |
| 131 and 126 | 16506 |
| 112 and 69 | 7728 |
| 46 and 15 | 690 |
| 37 and 58 | 2146 |