Least Common Multiple (LCM) of 10 and 147
The least common multiple (LCM) of 10 and 147 is 1470.
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 10 and 147?
First, calculate the GCD of 10 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 147 = 0 remainder 10 |
| 2 | 147 ÷ 10 = 14 remainder 7 |
| 3 | 10 ÷ 7 = 1 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 27 | 459 |
| 88 and 149 | 13112 |
| 153 and 123 | 6273 |
| 139 and 58 | 8062 |
| 153 and 144 | 2448 |