Least Common Multiple (LCM) of 196 and 152
The least common multiple (LCM) of 196 and 152 is 7448.
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 152?
First, calculate the GCD of 196 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 152 = 1 remainder 44 |
| 2 | 152 ÷ 44 = 3 remainder 20 |
| 3 | 44 ÷ 20 = 2 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 91 | 13559 |
| 38 and 29 | 1102 |
| 20 and 198 | 1980 |
| 126 and 66 | 1386 |
| 82 and 193 | 15826 |