Least Common Multiple (LCM) of 137 and 186
The least common multiple (LCM) of 137 and 186 is 25482.
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 137 and 186?
First, calculate the GCD of 137 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 186 = 0 remainder 137 |
| 2 | 186 ÷ 137 = 1 remainder 49 |
| 3 | 137 ÷ 49 = 2 remainder 39 |
| 4 | 49 ÷ 39 = 1 remainder 10 |
| 5 | 39 ÷ 10 = 3 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 148 | 6660 |
| 142 and 76 | 5396 |
| 111 and 30 | 1110 |
| 150 and 156 | 3900 |
| 69 and 110 | 7590 |