Least Common Multiple (LCM) of 172 and 147
The least common multiple (LCM) of 172 and 147 is 25284.
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 172 and 147?
First, calculate the GCD of 172 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 147 = 1 remainder 25 |
| 2 | 147 ÷ 25 = 5 remainder 22 |
| 3 | 25 ÷ 22 = 1 remainder 3 |
| 4 | 22 ÷ 3 = 7 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 153 | 7191 |
| 115 and 89 | 10235 |
| 135 and 64 | 8640 |
| 107 and 116 | 12412 |
| 101 and 45 | 4545 |