Least Common Multiple (LCM) of 132 and 19
The least common multiple (LCM) of 132 and 19 is 2508.
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 19?
First, calculate the GCD of 132 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 19 = 6 remainder 18 |
| 2 | 19 ÷ 18 = 1 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 137 | 7672 |
| 107 and 120 | 12840 |
| 139 and 86 | 11954 |
| 144 and 41 | 5904 |
| 101 and 59 | 5959 |