Least Common Multiple (LCM) of 164 and 35
The least common multiple (LCM) of 164 and 35 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 35?
First, calculate the GCD of 164 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 35 = 4 remainder 24 |
| 2 | 35 ÷ 24 = 1 remainder 11 |
| 3 | 24 ÷ 11 = 2 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 152 | 24168 |
| 180 and 119 | 21420 |
| 163 and 116 | 18908 |
| 87 and 185 | 16095 |
| 138 and 191 | 26358 |