Least Common Multiple (LCM) of 119 and 121
The least common multiple (LCM) of 119 and 121 is 14399.
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 119 and 121?
First, calculate the GCD of 119 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 121 = 0 remainder 119 |
| 2 | 121 ÷ 119 = 1 remainder 2 |
| 3 | 119 ÷ 2 = 59 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 131 | 14672 |
| 16 and 134 | 1072 |
| 170 and 137 | 23290 |
| 130 and 25 | 650 |
| 99 and 48 | 1584 |