Least Common Multiple (LCM) of 186 and 46
The least common multiple (LCM) of 186 and 46 is 4278.
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 186 and 46?
First, calculate the GCD of 186 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 46 = 4 remainder 2 |
| 2 | 46 ÷ 2 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 108 | 12204 |
| 172 and 77 | 13244 |
| 75 and 70 | 1050 |
| 56 and 147 | 1176 |
| 106 and 145 | 15370 |