Least Common Multiple (LCM) of 121 and 71
The least common multiple (LCM) of 121 and 71 is 8591.
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 71?
First, calculate the GCD of 121 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 71 = 1 remainder 50 |
| 2 | 71 ÷ 50 = 1 remainder 21 |
| 3 | 50 ÷ 21 = 2 remainder 8 |
| 4 | 21 ÷ 8 = 2 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 60 | 1320 |
| 185 and 71 | 13135 |
| 199 and 48 | 9552 |
| 187 and 145 | 27115 |
| 45 and 174 | 2610 |