Least Common Multiple (LCM) of 156 and 110
The least common multiple (LCM) of 156 and 110 is 8580.
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 110?
First, calculate the GCD of 156 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 110 = 1 remainder 46 |
| 2 | 110 ÷ 46 = 2 remainder 18 |
| 3 | 46 ÷ 18 = 2 remainder 10 |
| 4 | 18 ÷ 10 = 1 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 188 | 15604 |
| 69 and 156 | 3588 |
| 198 and 101 | 19998 |
| 29 and 171 | 4959 |
| 33 and 12 | 132 |