Least Common Multiple (LCM) of 164 and 188
The least common multiple (LCM) of 164 and 188 is 7708.
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 164 and 188?
First, calculate the GCD of 164 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 188 = 0 remainder 164 |
| 2 | 188 ÷ 164 = 1 remainder 24 |
| 3 | 164 ÷ 24 = 6 remainder 20 |
| 4 | 24 ÷ 20 = 1 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 190 | 5320 |
| 70 and 200 | 1400 |
| 126 and 107 | 13482 |
| 144 and 111 | 5328 |
| 64 and 130 | 4160 |