Least Common Multiple (LCM) of 119 and 182
The least common multiple (LCM) of 119 and 182 is 3094.
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 182?
First, calculate the GCD of 119 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 182 = 0 remainder 119 |
| 2 | 182 ÷ 119 = 1 remainder 63 |
| 3 | 119 ÷ 63 = 1 remainder 56 |
| 4 | 63 ÷ 56 = 1 remainder 7 |
| 5 | 56 ÷ 7 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 117 | 2691 |
| 36 and 197 | 7092 |
| 189 and 130 | 24570 |
| 148 and 58 | 4292 |
| 32 and 96 | 96 |