Least Common Multiple (LCM) of 164 and 142
The least common multiple (LCM) of 164 and 142 is 11644.
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 142?
First, calculate the GCD of 164 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 142 = 1 remainder 22 |
| 2 | 142 ÷ 22 = 6 remainder 10 |
| 3 | 22 ÷ 10 = 2 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 10 | 870 |
| 142 and 50 | 3550 |
| 32 and 129 | 4128 |
| 198 and 188 | 18612 |
| 66 and 186 | 2046 |