Least Common Multiple (LCM) of 148 and 179
The least common multiple (LCM) of 148 and 179 is 26492.
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 179?
First, calculate the GCD of 148 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 179 = 0 remainder 148 |
| 2 | 179 ÷ 148 = 1 remainder 31 |
| 3 | 148 ÷ 31 = 4 remainder 24 |
| 4 | 31 ÷ 24 = 1 remainder 7 |
| 5 | 24 ÷ 7 = 3 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 105 | 1155 |
| 55 and 15 | 165 |
| 68 and 52 | 884 |
| 192 and 32 | 192 |
| 88 and 104 | 1144 |