Least Common Multiple (LCM) of 46 and 179
The least common multiple (LCM) of 46 and 179 is 8234.
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 46 and 179?
First, calculate the GCD of 46 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 179 = 0 remainder 46 |
| 2 | 179 ÷ 46 = 3 remainder 41 |
| 3 | 46 ÷ 41 = 1 remainder 5 |
| 4 | 41 ÷ 5 = 8 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 36 | 1044 |
| 136 and 95 | 12920 |
| 192 and 61 | 11712 |
| 69 and 116 | 8004 |
| 139 and 159 | 22101 |