Least Common Multiple (LCM) of 100 and 47
The least common multiple (LCM) of 100 and 47 is 4700.
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 100 and 47?
First, calculate the GCD of 100 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 47 = 2 remainder 6 |
| 2 | 47 ÷ 6 = 7 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 153 | 7956 |
| 149 and 93 | 13857 |
| 93 and 38 | 3534 |
| 19 and 123 | 2337 |
| 132 and 185 | 24420 |