Least Common Multiple (LCM) of 188 and 84
The least common multiple (LCM) of 188 and 84 is 3948.
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 188 and 84?
First, calculate the GCD of 188 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 84 = 2 remainder 20 |
| 2 | 84 ÷ 20 = 4 remainder 4 |
| 3 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 110 | 20790 |
| 65 and 128 | 8320 |
| 120 and 117 | 4680 |
| 55 and 138 | 7590 |
| 114 and 52 | 2964 |