Least Common Multiple (LCM) of 121 and 52
The least common multiple (LCM) of 121 and 52 is 6292.
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 52?
First, calculate the GCD of 121 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 52 = 2 remainder 17 |
| 2 | 52 ÷ 17 = 3 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 162 | 5670 |
| 158 and 169 | 26702 |
| 181 and 63 | 11403 |
| 171 and 189 | 3591 |
| 143 and 160 | 22880 |