Least Common Multiple (LCM) of 122 and 52
The least common multiple (LCM) of 122 and 52 is 3172.
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 122 and 52?
First, calculate the GCD of 122 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 52 = 2 remainder 18 |
| 2 | 52 ÷ 18 = 2 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 121 | 15851 |
| 48 and 141 | 2256 |
| 53 and 116 | 6148 |
| 166 and 62 | 5146 |
| 95 and 86 | 8170 |