Least Common Multiple (LCM) of 52 and 121
The least common multiple (LCM) of 52 and 121 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 52 and 121?
First, calculate the GCD of 52 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 121 = 0 remainder 52 |
| 2 | 121 ÷ 52 = 2 remainder 17 |
| 3 | 52 ÷ 17 = 3 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 150 | 8850 |
| 182 and 186 | 16926 |
| 197 and 86 | 16942 |
| 137 and 129 | 17673 |
| 162 and 35 | 5670 |