Least Common Multiple (LCM) of 188 and 196
The least common multiple (LCM) of 188 and 196 is 9212.
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 196?
First, calculate the GCD of 188 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 196 = 0 remainder 188 |
| 2 | 196 ÷ 188 = 1 remainder 8 |
| 3 | 188 ÷ 8 = 23 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 164 | 18204 |
| 84 and 120 | 840 |
| 170 and 126 | 10710 |
| 70 and 147 | 1470 |
| 160 and 56 | 1120 |