Least Common Multiple (LCM) of 164 and 49
The least common multiple (LCM) of 164 and 49 is 8036.
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 49?
First, calculate the GCD of 164 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 49 = 3 remainder 17 |
| 2 | 49 ÷ 17 = 2 remainder 15 |
| 3 | 17 ÷ 15 = 1 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 21 | 2919 |
| 157 and 191 | 29987 |
| 56 and 13 | 728 |
| 14 and 26 | 182 |
| 161 and 153 | 24633 |