Least Common Multiple (LCM) of 161 and 119
The least common multiple (LCM) of 161 and 119 is 2737.
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 161 and 119?
First, calculate the GCD of 161 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 119 = 1 remainder 42 |
| 2 | 119 ÷ 42 = 2 remainder 35 |
| 3 | 42 ÷ 35 = 1 remainder 7 |
| 4 | 35 ÷ 7 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 120 | 9240 |
| 141 and 127 | 17907 |
| 24 and 75 | 600 |
| 135 and 89 | 12015 |
| 35 and 13 | 455 |