Least Common Multiple (LCM) of 138 and 186
The least common multiple (LCM) of 138 and 186 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 138 and 186?
First, calculate the GCD of 138 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 186 = 0 remainder 138 |
| 2 | 186 ÷ 138 = 1 remainder 48 |
| 3 | 138 ÷ 48 = 2 remainder 42 |
| 4 | 48 ÷ 42 = 1 remainder 6 |
| 5 | 42 ÷ 6 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 68 | 1360 |
| 33 and 166 | 5478 |
| 110 and 169 | 18590 |
| 29 and 91 | 2639 |
| 53 and 171 | 9063 |