Least Common Multiple (LCM) of 116 and 156
The least common multiple (LCM) of 116 and 156 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 116 and 156?
First, calculate the GCD of 116 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 156 = 0 remainder 116 |
| 2 | 156 ÷ 116 = 1 remainder 40 |
| 3 | 116 ÷ 40 = 2 remainder 36 |
| 4 | 40 ÷ 36 = 1 remainder 4 |
| 5 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 37 | 6882 |
| 120 and 197 | 23640 |
| 72 and 90 | 360 |
| 118 and 151 | 17818 |
| 81 and 70 | 5670 |