Least Common Multiple (LCM) of 156 and 188
The least common multiple (LCM) of 156 and 188 is 7332.
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 188?
First, calculate the GCD of 156 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 188 = 0 remainder 156 |
| 2 | 188 ÷ 156 = 1 remainder 32 |
| 3 | 156 ÷ 32 = 4 remainder 28 |
| 4 | 32 ÷ 28 = 1 remainder 4 |
| 5 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 192 | 960 |
| 43 and 12 | 516 |
| 96 and 107 | 10272 |
| 35 and 189 | 945 |
| 86 and 199 | 17114 |