Least Common Multiple (LCM) of 148 and 182
The least common multiple (LCM) of 148 and 182 is 13468.
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 148 and 182?
First, calculate the GCD of 148 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 182 = 0 remainder 148 |
| 2 | 182 ÷ 148 = 1 remainder 34 |
| 3 | 148 ÷ 34 = 4 remainder 12 |
| 4 | 34 ÷ 12 = 2 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 121 | 22143 |
| 39 and 75 | 975 |
| 104 and 79 | 8216 |
| 156 and 174 | 4524 |
| 120 and 108 | 1080 |