Least Common Multiple (LCM) of 196 and 21
The least common multiple (LCM) of 196 and 21 is 588.
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 196 and 21?
First, calculate the GCD of 196 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 21 = 9 remainder 7 |
| 2 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 98 | 16170 |
| 184 and 16 | 368 |
| 149 and 91 | 13559 |
| 125 and 105 | 2625 |
| 160 and 105 | 3360 |