Least Common Multiple (LCM) of 186 and 152
The least common multiple (LCM) of 186 and 152 is 14136.
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 152?
First, calculate the GCD of 186 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 152 = 1 remainder 34 |
| 2 | 152 ÷ 34 = 4 remainder 16 |
| 3 | 34 ÷ 16 = 2 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 69 | 10212 |
| 170 and 56 | 4760 |
| 159 and 17 | 2703 |
| 76 and 109 | 8284 |
| 30 and 22 | 330 |