Least Common Multiple (LCM) of 61 and 148
The least common multiple (LCM) of 61 and 148 is 9028.
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 61 and 148?
First, calculate the GCD of 61 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 148 = 0 remainder 61 |
| 2 | 148 ÷ 61 = 2 remainder 26 |
| 3 | 61 ÷ 26 = 2 remainder 9 |
| 4 | 26 ÷ 9 = 2 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 195 | 2340 |
| 181 and 66 | 11946 |
| 65 and 28 | 1820 |
| 168 and 129 | 7224 |
| 65 and 198 | 12870 |