Least Common Multiple (LCM) of 101 and 24
The least common multiple (LCM) of 101 and 24 is 2424.
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 101 and 24?
First, calculate the GCD of 101 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 24 = 4 remainder 5 |
| 2 | 24 ÷ 5 = 4 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 33 | 5775 |
| 177 and 30 | 1770 |
| 184 and 43 | 7912 |
| 182 and 80 | 7280 |
| 174 and 28 | 2436 |