Least Common Multiple (LCM) of 148 and 69
The least common multiple (LCM) of 148 and 69 is 10212.
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 69?
First, calculate the GCD of 148 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 69 = 2 remainder 10 |
| 2 | 69 ÷ 10 = 6 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 84 | 1428 |
| 144 and 171 | 2736 |
| 154 and 34 | 2618 |
| 183 and 138 | 8418 |
| 130 and 188 | 12220 |