Least Common Multiple (LCM) of 35 and 173
The least common multiple (LCM) of 35 and 173 is 6055.
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 173?
First, calculate the GCD of 35 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 173 = 0 remainder 35 |
| 2 | 173 ÷ 35 = 4 remainder 33 |
| 3 | 35 ÷ 33 = 1 remainder 2 |
| 4 | 33 ÷ 2 = 16 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 117 | 1170 |
| 138 and 90 | 2070 |
| 28 and 37 | 1036 |
| 121 and 117 | 14157 |
| 164 and 87 | 14268 |