Least Common Multiple (LCM) of 186 and 138
The least common multiple (LCM) of 186 and 138 is 4278.
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 138?
First, calculate the GCD of 186 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 138 = 1 remainder 48 |
| 2 | 138 ÷ 48 = 2 remainder 42 |
| 3 | 48 ÷ 42 = 1 remainder 6 |
| 4 | 42 ÷ 6 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 38 | 2660 |
| 135 and 89 | 12015 |
| 53 and 85 | 4505 |
| 29 and 151 | 4379 |
| 57 and 84 | 1596 |