Least Common Multiple (LCM) of 32 and 179
The least common multiple (LCM) of 32 and 179 is 5728.
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 32 and 179?
First, calculate the GCD of 32 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 179 = 0 remainder 32 |
| 2 | 179 ÷ 32 = 5 remainder 19 |
| 3 | 32 ÷ 19 = 1 remainder 13 |
| 4 | 19 ÷ 13 = 1 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 112 | 2576 |
| 92 and 128 | 2944 |
| 24 and 49 | 1176 |
| 23 and 156 | 3588 |
| 176 and 54 | 4752 |