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 |
|---|---|
| 198 and 176 | 1584 |
| 169 and 99 | 16731 |
| 154 and 198 | 1386 |
| 100 and 70 | 700 |
| 165 and 175 | 5775 |