Least Common Multiple (LCM) of 132 and 140
The least common multiple (LCM) of 132 and 140 is 4620.
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 140?
First, calculate the GCD of 132 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 140 = 0 remainder 132 |
| 2 | 140 ÷ 132 = 1 remainder 8 |
| 3 | 132 ÷ 8 = 16 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 143 | 24310 |
| 189 and 141 | 8883 |
| 134 and 159 | 21306 |
| 146 and 110 | 8030 |
| 146 and 137 | 20002 |