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 |
|---|---|
| 18 and 138 | 414 |
| 109 and 107 | 11663 |
| 120 and 66 | 1320 |
| 128 and 60 | 1920 |
| 84 and 161 | 1932 |