Least Common Multiple (LCM) of 156 and 116
The least common multiple (LCM) of 156 and 116 is 4524.
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 156 and 116?
First, calculate the GCD of 156 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 116 = 1 remainder 40 |
| 2 | 116 ÷ 40 = 2 remainder 36 |
| 3 | 40 ÷ 36 = 1 remainder 4 |
| 4 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 87 | 4785 |
| 81 and 17 | 1377 |
| 116 and 96 | 2784 |
| 145 and 47 | 6815 |
| 188 and 142 | 13348 |