Least Common Multiple (LCM) of 148 and 196
The least common multiple (LCM) of 148 and 196 is 7252.
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 148 and 196?
First, calculate the GCD of 148 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 196 = 0 remainder 148 |
| 2 | 196 ÷ 148 = 1 remainder 48 |
| 3 | 148 ÷ 48 = 3 remainder 4 |
| 4 | 48 ÷ 4 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 109 | 3924 |
| 187 and 175 | 32725 |
| 109 and 69 | 7521 |
| 69 and 69 | 69 |
| 162 and 80 | 6480 |