Least Common Multiple (LCM) of 163 and 35
The least common multiple (LCM) of 163 and 35 is 5705.
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 163 and 35?
First, calculate the GCD of 163 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 35 = 4 remainder 23 |
| 2 | 35 ÷ 23 = 1 remainder 12 |
| 3 | 23 ÷ 12 = 1 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 160 | 3360 |
| 100 and 167 | 16700 |
| 110 and 56 | 3080 |
| 106 and 77 | 8162 |
| 60 and 17 | 1020 |