Least Common Multiple (LCM) of 121 and 164
The least common multiple (LCM) of 121 and 164 is 19844.
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 121 and 164?
First, calculate the GCD of 121 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 164 = 0 remainder 121 |
| 2 | 164 ÷ 121 = 1 remainder 43 |
| 3 | 121 ÷ 43 = 2 remainder 35 |
| 4 | 43 ÷ 35 = 1 remainder 8 |
| 5 | 35 ÷ 8 = 4 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 14 | 1918 |
| 87 and 69 | 2001 |
| 10 and 161 | 1610 |
| 165 and 65 | 2145 |
| 60 and 57 | 1140 |