Least Common Multiple (LCM) of 164 and 122
The least common multiple (LCM) of 164 and 122 is 10004.
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 164 and 122?
First, calculate the GCD of 164 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 122 = 1 remainder 42 |
| 2 | 122 ÷ 42 = 2 remainder 38 |
| 3 | 42 ÷ 38 = 1 remainder 4 |
| 4 | 38 ÷ 4 = 9 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 113 | 8814 |
| 192 and 139 | 26688 |
| 81 and 161 | 13041 |
| 114 and 46 | 2622 |
| 196 and 25 | 4900 |