Least Common Multiple (LCM) of 147 and 71
The least common multiple (LCM) of 147 and 71 is 10437.
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 71?
First, calculate the GCD of 147 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 71 = 2 remainder 5 |
| 2 | 71 ÷ 5 = 14 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 169 | 12675 |
| 162 and 100 | 8100 |
| 17 and 34 | 34 |
| 118 and 176 | 10384 |
| 32 and 13 | 416 |