Least Common Multiple (LCM) of 164 and 155
The least common multiple (LCM) of 164 and 155 is 25420.
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 155?
First, calculate the GCD of 164 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 155 = 1 remainder 9 |
| 2 | 155 ÷ 9 = 17 remainder 2 |
| 3 | 9 ÷ 2 = 4 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 113 | 4294 |
| 194 and 49 | 9506 |
| 114 and 189 | 7182 |
| 116 and 118 | 6844 |
| 77 and 152 | 11704 |