Least Common Multiple (LCM) of 156 and 176
The least common multiple (LCM) of 156 and 176 is 6864.
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 176?
First, calculate the GCD of 156 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 176 = 0 remainder 156 |
| 2 | 176 ÷ 156 = 1 remainder 20 |
| 3 | 156 ÷ 20 = 7 remainder 16 |
| 4 | 20 ÷ 16 = 1 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 13 | 1482 |
| 55 and 142 | 7810 |
| 173 and 87 | 15051 |
| 51 and 80 | 4080 |
| 108 and 43 | 4644 |