Least Common Multiple (LCM) of 121 and 117
The least common multiple (LCM) of 121 and 117 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 121 and 117?
First, calculate the GCD of 121 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 117 = 1 remainder 4 |
| 2 | 117 ÷ 4 = 29 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 169 | 8957 |
| 155 and 133 | 20615 |
| 31 and 61 | 1891 |
| 131 and 50 | 6550 |
| 111 and 195 | 7215 |