Least Common Multiple (LCM) of 108 and 156
The least common multiple (LCM) of 108 and 156 is 1404.
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 108 and 156?
First, calculate the GCD of 108 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 156 = 0 remainder 108 |
| 2 | 156 ÷ 108 = 1 remainder 48 |
| 3 | 108 ÷ 48 = 2 remainder 12 |
| 4 | 48 ÷ 12 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 15 | 1140 |
| 96 and 116 | 2784 |
| 49 and 163 | 7987 |
| 179 and 82 | 14678 |
| 105 and 176 | 18480 |