Least Common Multiple (LCM) of 182 and 119
The least common multiple (LCM) of 182 and 119 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 182 and 119?
First, calculate the GCD of 182 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 119 = 1 remainder 63 |
| 2 | 119 ÷ 63 = 1 remainder 56 |
| 3 | 63 ÷ 56 = 1 remainder 7 |
| 4 | 56 ÷ 7 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 178 | 1958 |
| 132 and 129 | 5676 |
| 155 and 109 | 16895 |
| 36 and 155 | 5580 |
| 126 and 148 | 9324 |