Least Common Multiple (LCM) of 147 and 148
The least common multiple (LCM) of 147 and 148 is 21756.
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 147 and 148?
First, calculate the GCD of 147 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 148 = 0 remainder 147 |
| 2 | 148 ÷ 147 = 1 remainder 1 |
| 3 | 147 ÷ 1 = 147 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 117 | 5733 |
| 155 and 96 | 14880 |
| 29 and 82 | 2378 |
| 78 and 110 | 4290 |
| 57 and 143 | 8151 |