Least Common Multiple (LCM) of 122 and 148
The least common multiple (LCM) of 122 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 122 and 148?
First, calculate the GCD of 122 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 148 = 0 remainder 122 |
| 2 | 148 ÷ 122 = 1 remainder 26 |
| 3 | 122 ÷ 26 = 4 remainder 18 |
| 4 | 26 ÷ 18 = 1 remainder 8 |
| 5 | 18 ÷ 8 = 2 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 61 | 7137 |
| 109 and 117 | 12753 |
| 153 and 146 | 22338 |
| 39 and 127 | 4953 |
| 120 and 27 | 1080 |