Least Common Multiple (LCM) of 148 and 186
The least common multiple (LCM) of 148 and 186 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 148 and 186?
First, calculate the GCD of 148 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 186 = 0 remainder 148 |
| 2 | 186 ÷ 148 = 1 remainder 38 |
| 3 | 148 ÷ 38 = 3 remainder 34 |
| 4 | 38 ÷ 34 = 1 remainder 4 |
| 5 | 34 ÷ 4 = 8 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 159 | 9063 |
| 87 and 24 | 696 |
| 93 and 53 | 4929 |
| 99 and 105 | 3465 |
| 188 and 45 | 8460 |