Least Common Multiple (LCM) of 118 and 52
The least common multiple (LCM) of 118 and 52 is 3068.
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 118 and 52?
First, calculate the GCD of 118 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 52 = 2 remainder 14 |
| 2 | 52 ÷ 14 = 3 remainder 10 |
| 3 | 14 ÷ 10 = 1 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 106 | 20882 |
| 165 and 124 | 20460 |
| 52 and 152 | 1976 |
| 71 and 21 | 1491 |
| 181 and 54 | 9774 |