Least Common Multiple (LCM) of 148 and 178
The least common multiple (LCM) of 148 and 178 is 13172.
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 178?
First, calculate the GCD of 148 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 178 = 0 remainder 148 |
| 2 | 178 ÷ 148 = 1 remainder 30 |
| 3 | 148 ÷ 30 = 4 remainder 28 |
| 4 | 30 ÷ 28 = 1 remainder 2 |
| 5 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 69 | 2967 |
| 152 and 179 | 27208 |
| 47 and 12 | 564 |
| 37 and 193 | 7141 |
| 137 and 46 | 6302 |