Least Common Multiple (LCM) of 185 and 101
The least common multiple (LCM) of 185 and 101 is 18685.
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 101?
First, calculate the GCD of 185 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 101 = 1 remainder 84 |
| 2 | 101 ÷ 84 = 1 remainder 17 |
| 3 | 84 ÷ 17 = 4 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 120 | 6360 |
| 149 and 126 | 18774 |
| 76 and 112 | 2128 |
| 73 and 70 | 5110 |
| 174 and 157 | 27318 |