Least Common Multiple (LCM) of 179 and 169
The least common multiple (LCM) of 179 and 169 is 30251.
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 169?
First, calculate the GCD of 179 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 169 = 1 remainder 10 |
| 2 | 169 ÷ 10 = 16 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 64 | 1088 |
| 139 and 140 | 19460 |
| 52 and 180 | 2340 |
| 128 and 135 | 17280 |
| 109 and 105 | 11445 |