Least Common Multiple (LCM) of 39 and 173
The least common multiple (LCM) of 39 and 173 is 6747.
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 39 and 173?
First, calculate the GCD of 39 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 173 = 0 remainder 39 |
| 2 | 173 ÷ 39 = 4 remainder 17 |
| 3 | 39 ÷ 17 = 2 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 149 | 16688 |
| 163 and 64 | 10432 |
| 155 and 135 | 4185 |
| 70 and 45 | 630 |
| 122 and 124 | 7564 |