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 |
|---|---|
| 123 and 141 | 5781 |
| 50 and 29 | 1450 |
| 124 and 98 | 6076 |
| 108 and 165 | 5940 |
| 64 and 44 | 704 |