Least Common Multiple (LCM) of 119 and 161
The least common multiple (LCM) of 119 and 161 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 119 and 161?
First, calculate the GCD of 119 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 161 = 0 remainder 119 |
| 2 | 161 ÷ 119 = 1 remainder 42 |
| 3 | 119 ÷ 42 = 2 remainder 35 |
| 4 | 42 ÷ 35 = 1 remainder 7 |
| 5 | 35 ÷ 7 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 34 | 510 |
| 105 and 69 | 2415 |
| 116 and 178 | 10324 |
| 160 and 179 | 28640 |
| 132 and 112 | 3696 |