Least Common Multiple (LCM) of 148 and 183
The least common multiple (LCM) of 148 and 183 is 27084.
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 183?
First, calculate the GCD of 148 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 183 = 0 remainder 148 |
| 2 | 183 ÷ 148 = 1 remainder 35 |
| 3 | 148 ÷ 35 = 4 remainder 8 |
| 4 | 35 ÷ 8 = 4 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 134 | 6566 |
| 71 and 30 | 2130 |
| 55 and 176 | 880 |
| 102 and 112 | 5712 |
| 135 and 155 | 4185 |