Least Common Multiple (LCM) of 176 and 137
The least common multiple (LCM) of 176 and 137 is 24112.
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 176 and 137?
First, calculate the GCD of 176 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 137 = 1 remainder 39 |
| 2 | 137 ÷ 39 = 3 remainder 20 |
| 3 | 39 ÷ 20 = 1 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 96 | 2400 |
| 77 and 45 | 3465 |
| 184 and 61 | 11224 |
| 44 and 63 | 2772 |
| 170 and 85 | 170 |