Least Common Multiple (LCM) of 164 and 179
The least common multiple (LCM) of 164 and 179 is 29356.
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 179?
First, calculate the GCD of 164 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 179 = 0 remainder 164 |
| 2 | 179 ÷ 164 = 1 remainder 15 |
| 3 | 164 ÷ 15 = 10 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 21 | 2877 |
| 171 and 107 | 18297 |
| 145 and 103 | 14935 |
| 28 and 142 | 1988 |
| 199 and 170 | 33830 |