Least Common Multiple (LCM) of 35 and 52
The least common multiple (LCM) of 35 and 52 is 1820.
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 35 and 52?
First, calculate the GCD of 35 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 52 = 0 remainder 35 |
| 2 | 52 ÷ 35 = 1 remainder 17 |
| 3 | 35 ÷ 17 = 2 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 121 | 5082 |
| 108 and 36 | 108 |
| 146 and 65 | 9490 |
| 19 and 97 | 1843 |
| 158 and 133 | 21014 |