Least Common Multiple (LCM) of 186 and 154
The least common multiple (LCM) of 186 and 154 is 14322.
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 154?
First, calculate the GCD of 186 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 154 = 1 remainder 32 |
| 2 | 154 ÷ 32 = 4 remainder 26 |
| 3 | 32 ÷ 26 = 1 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 182 | 182 |
| 89 and 45 | 4005 |
| 134 and 174 | 11658 |
| 33 and 127 | 4191 |
| 108 and 115 | 12420 |