Least Common Multiple (LCM) of 174 and 22
The least common multiple (LCM) of 174 and 22 is 1914.
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 22?
First, calculate the GCD of 174 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 22 = 7 remainder 20 |
| 2 | 22 ÷ 20 = 1 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 126 | 4662 |
| 143 and 23 | 3289 |
| 69 and 15 | 345 |
| 137 and 89 | 12193 |
| 16 and 16 | 16 |