Least Common Multiple (LCM) of 179 and 95
The least common multiple (LCM) of 179 and 95 is 17005.
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 179 and 95?
First, calculate the GCD of 179 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 95 = 1 remainder 84 |
| 2 | 95 ÷ 84 = 1 remainder 11 |
| 3 | 84 ÷ 11 = 7 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 155 | 22320 |
| 42 and 108 | 756 |
| 42 and 131 | 5502 |
| 184 and 129 | 23736 |
| 99 and 105 | 3465 |