Least Common Multiple (LCM) of 174 and 155
The least common multiple (LCM) of 174 and 155 is 26970.
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 155?
First, calculate the GCD of 174 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 155 = 1 remainder 19 |
| 2 | 155 ÷ 19 = 8 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 17 | 3213 |
| 178 and 113 | 20114 |
| 84 and 131 | 11004 |
| 15 and 10 | 30 |
| 159 and 134 | 21306 |