Least Common Multiple (LCM) of 185 and 100
The least common multiple (LCM) of 185 and 100 is 3700.
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 185 and 100?
First, calculate the GCD of 185 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 100 = 1 remainder 85 |
| 2 | 100 ÷ 85 = 1 remainder 15 |
| 3 | 85 ÷ 15 = 5 remainder 10 |
| 4 | 15 ÷ 10 = 1 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 140 | 1120 |
| 23 and 108 | 2484 |
| 73 and 169 | 12337 |
| 166 and 161 | 26726 |
| 151 and 81 | 12231 |