Least Common Multiple (LCM) of 132 and 136
The least common multiple (LCM) of 132 and 136 is 4488.
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 132 and 136?
First, calculate the GCD of 132 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 136 = 0 remainder 132 |
| 2 | 136 ÷ 132 = 1 remainder 4 |
| 3 | 132 ÷ 4 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 106 | 5724 |
| 23 and 168 | 3864 |
| 197 and 31 | 6107 |
| 166 and 113 | 18758 |
| 175 and 139 | 24325 |