Least Common Multiple (LCM) of 35 and 186
The least common multiple (LCM) of 35 and 186 is 6510.
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 35 and 186?
First, calculate the GCD of 35 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 186 = 0 remainder 35 |
| 2 | 186 ÷ 35 = 5 remainder 11 |
| 3 | 35 ÷ 11 = 3 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 115 | 6785 |
| 12 and 123 | 492 |
| 192 and 84 | 1344 |
| 127 and 197 | 25019 |
| 99 and 51 | 1683 |