Least Common Multiple (LCM) of 176 and 59
The least common multiple (LCM) of 176 and 59 is 10384.
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 59?
First, calculate the GCD of 176 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 59 = 2 remainder 58 |
| 2 | 59 ÷ 58 = 1 remainder 1 |
| 3 | 58 ÷ 1 = 58 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 167 | 167 |
| 114 and 194 | 11058 |
| 164 and 57 | 9348 |
| 102 and 35 | 3570 |
| 138 and 200 | 13800 |