Least Common Multiple (LCM) of 173 and 137
The least common multiple (LCM) of 173 and 137 is 23701.
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 173 and 137?
First, calculate the GCD of 173 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 137 = 1 remainder 36 |
| 2 | 137 ÷ 36 = 3 remainder 29 |
| 3 | 36 ÷ 29 = 1 remainder 7 |
| 4 | 29 ÷ 7 = 4 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 40 | 880 |
| 170 and 136 | 680 |
| 73 and 130 | 9490 |
| 36 and 19 | 684 |
| 148 and 17 | 2516 |