Least Common Multiple (LCM) of 186 and 21
The least common multiple (LCM) of 186 and 21 is 1302.
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 21?
First, calculate the GCD of 186 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 21 = 8 remainder 18 |
| 2 | 21 ÷ 18 = 1 remainder 3 |
| 3 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 96 | 1056 |
| 120 and 183 | 7320 |
| 47 and 77 | 3619 |
| 172 and 44 | 1892 |
| 36 and 64 | 576 |