Least Common Multiple (LCM) of 132 and 119
The least common multiple (LCM) of 132 and 119 is 15708.
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 119?
First, calculate the GCD of 132 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 119 = 1 remainder 13 |
| 2 | 119 ÷ 13 = 9 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 22 | 1650 |
| 108 and 125 | 13500 |
| 33 and 139 | 4587 |
| 189 and 34 | 6426 |
| 117 and 191 | 22347 |