Least Common Multiple (LCM) of 199 and 174
The least common multiple (LCM) of 199 and 174 is 34626.
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 199 and 174?
First, calculate the GCD of 199 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 174 = 1 remainder 25 |
| 2 | 174 ÷ 25 = 6 remainder 24 |
| 3 | 25 ÷ 24 = 1 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 161 | 20769 |
| 152 and 92 | 3496 |
| 162 and 176 | 14256 |
| 40 and 155 | 1240 |
| 123 and 102 | 4182 |