Least Common Multiple (LCM) of 132 and 116
The least common multiple (LCM) of 132 and 116 is 3828.
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 116?
First, calculate the GCD of 132 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 116 = 1 remainder 16 |
| 2 | 116 ÷ 16 = 7 remainder 4 |
| 3 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 109 | 7303 |
| 143 and 120 | 17160 |
| 122 and 85 | 10370 |
| 129 and 176 | 22704 |
| 124 and 63 | 7812 |