Least Common Multiple (LCM) of 174 and 169
The least common multiple (LCM) of 174 and 169 is 29406.
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 174 and 169?
First, calculate the GCD of 174 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 169 = 1 remainder 5 |
| 2 | 169 ÷ 5 = 33 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 198 | 26334 |
| 86 and 128 | 5504 |
| 190 and 96 | 9120 |
| 94 and 20 | 940 |
| 45 and 182 | 8190 |