Least Common Multiple (LCM) of 121 and 156
The least common multiple (LCM) of 121 and 156 is 18876.
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 121 and 156?
First, calculate the GCD of 121 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 156 = 0 remainder 121 |
| 2 | 156 ÷ 121 = 1 remainder 35 |
| 3 | 121 ÷ 35 = 3 remainder 16 |
| 4 | 35 ÷ 16 = 2 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 23 | 2668 |
| 58 and 176 | 5104 |
| 121 and 177 | 21417 |
| 110 and 49 | 5390 |
| 113 and 198 | 22374 |