Least Common Multiple (LCM) of 178 and 200
The least common multiple (LCM) of 178 and 200 is 17800.
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 178 and 200?
First, calculate the GCD of 178 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 200 = 0 remainder 178 |
| 2 | 200 ÷ 178 = 1 remainder 22 |
| 3 | 178 ÷ 22 = 8 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 31 | 3379 |
| 25 and 111 | 2775 |
| 151 and 46 | 6946 |
| 165 and 82 | 13530 |
| 88 and 68 | 1496 |