Least Common Multiple (LCM) of 200 and 88
The least common multiple (LCM) of 200 and 88 is 2200.
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 200 and 88?
First, calculate the GCD of 200 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 88 = 2 remainder 24 |
| 2 | 88 ÷ 24 = 3 remainder 16 |
| 3 | 24 ÷ 16 = 1 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 117 | 234 |
| 156 and 196 | 7644 |
| 96 and 111 | 3552 |
| 10 and 109 | 1090 |
| 112 and 65 | 7280 |