Least Common Multiple (LCM) of 185 and 70
The least common multiple (LCM) of 185 and 70 is 2590.
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 70?
First, calculate the GCD of 185 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 70 = 2 remainder 45 |
| 2 | 70 ÷ 45 = 1 remainder 25 |
| 3 | 45 ÷ 25 = 1 remainder 20 |
| 4 | 25 ÷ 20 = 1 remainder 5 |
| 5 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 185 | 2405 |
| 31 and 163 | 5053 |
| 126 and 145 | 18270 |
| 87 and 186 | 5394 |
| 168 and 166 | 13944 |