Least Common Multiple (LCM) of 147 and 100
The least common multiple (LCM) of 147 and 100 is 14700.
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 100?
First, calculate the GCD of 147 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 100 = 1 remainder 47 |
| 2 | 100 ÷ 47 = 2 remainder 6 |
| 3 | 47 ÷ 6 = 7 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 29 | 4002 |
| 99 and 157 | 15543 |
| 181 and 139 | 25159 |
| 32 and 89 | 2848 |
| 171 and 69 | 3933 |