Least Common Multiple (LCM) of 186 and 148
The least common multiple (LCM) of 186 and 148 is 13764.
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 148?
First, calculate the GCD of 186 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 148 = 1 remainder 38 |
| 2 | 148 ÷ 38 = 3 remainder 34 |
| 3 | 38 ÷ 34 = 1 remainder 4 |
| 4 | 34 ÷ 4 = 8 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 11 | 891 |
| 100 and 176 | 4400 |
| 81 and 68 | 5508 |
| 53 and 112 | 5936 |
| 94 and 185 | 17390 |