Least Common Multiple (LCM) of 117 and 121
The least common multiple (LCM) of 117 and 121 is 14157.
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 117 and 121?
First, calculate the GCD of 117 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 121 = 0 remainder 117 |
| 2 | 121 ÷ 117 = 1 remainder 4 |
| 3 | 117 ÷ 4 = 29 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 109 | 5559 |
| 181 and 39 | 7059 |
| 179 and 195 | 34905 |
| 167 and 167 | 167 |
| 167 and 176 | 29392 |