Least Common Multiple (LCM) of 184 and 100
The least common multiple (LCM) of 184 and 100 is 4600.
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 184 and 100?
First, calculate the GCD of 184 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 100 = 1 remainder 84 |
| 2 | 100 ÷ 84 = 1 remainder 16 |
| 3 | 84 ÷ 16 = 5 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 98 | 882 |
| 91 and 111 | 10101 |
| 176 and 53 | 9328 |
| 49 and 147 | 147 |
| 199 and 153 | 30447 |