Least Common Multiple (LCM) of 35 and 160
The least common multiple (LCM) of 35 and 160 is 1120.
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 160?
First, calculate the GCD of 35 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 160 = 0 remainder 35 |
| 2 | 160 ÷ 35 = 4 remainder 20 |
| 3 | 35 ÷ 20 = 1 remainder 15 |
| 4 | 20 ÷ 15 = 1 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 175 | 19075 |
| 161 and 57 | 9177 |
| 16 and 196 | 784 |
| 82 and 73 | 5986 |
| 116 and 104 | 3016 |