Least Common Multiple (LCM) of 35 and 116
The least common multiple (LCM) of 35 and 116 is 4060.
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 116?
First, calculate the GCD of 35 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 116 = 0 remainder 35 |
| 2 | 116 ÷ 35 = 3 remainder 11 |
| 3 | 35 ÷ 11 = 3 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 137 | 16440 |
| 90 and 48 | 720 |
| 162 and 105 | 5670 |
| 181 and 136 | 24616 |
| 127 and 96 | 12192 |