Least Common Multiple (LCM) of 132 and 59
The least common multiple (LCM) of 132 and 59 is 7788.
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 59?
First, calculate the GCD of 132 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 59 = 2 remainder 14 |
| 2 | 59 ÷ 14 = 4 remainder 3 |
| 3 | 14 ÷ 3 = 4 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 112 | 9072 |
| 182 and 200 | 18200 |
| 47 and 56 | 2632 |
| 15 and 47 | 705 |
| 178 and 15 | 2670 |