Least Common Multiple (LCM) of 147 and 122
The least common multiple (LCM) of 147 and 122 is 17934.
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 147 and 122?
First, calculate the GCD of 147 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 122 = 1 remainder 25 |
| 2 | 122 ÷ 25 = 4 remainder 22 |
| 3 | 25 ÷ 22 = 1 remainder 3 |
| 4 | 22 ÷ 3 = 7 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 91 | 1638 |
| 104 and 175 | 18200 |
| 142 and 176 | 12496 |
| 166 and 13 | 2158 |
| 170 and 86 | 7310 |