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 |
|---|---|
| 24 and 51 | 408 |
| 145 and 101 | 14645 |
| 193 and 93 | 17949 |
| 188 and 134 | 12596 |
| 133 and 188 | 25004 |