Least Common Multiple (LCM) of 164 and 140
The least common multiple (LCM) of 164 and 140 is 5740.
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 140?
First, calculate the GCD of 164 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 140 = 1 remainder 24 |
| 2 | 140 ÷ 24 = 5 remainder 20 |
| 3 | 24 ÷ 20 = 1 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 83 | 15853 |
| 115 and 68 | 7820 |
| 41 and 184 | 7544 |
| 192 and 181 | 34752 |
| 157 and 111 | 17427 |