Least Common Multiple (LCM) of 100 and 184
The least common multiple (LCM) of 100 and 184 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 100 and 184?
First, calculate the GCD of 100 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 184 = 0 remainder 100 |
| 2 | 184 ÷ 100 = 1 remainder 84 |
| 3 | 100 ÷ 84 = 1 remainder 16 |
| 4 | 84 ÷ 16 = 5 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 153 | 9333 |
| 112 and 91 | 1456 |
| 123 and 128 | 15744 |
| 90 and 59 | 5310 |
| 40 and 179 | 7160 |