Least Common Multiple (LCM) of 24 and 58
The least common multiple (LCM) of 24 and 58 is 696.
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 24 and 58?
First, calculate the GCD of 24 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 58 = 0 remainder 24 |
| 2 | 58 ÷ 24 = 2 remainder 10 |
| 3 | 24 ÷ 10 = 2 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 102 | 5406 |
| 148 and 184 | 6808 |
| 176 and 118 | 10384 |
| 76 and 17 | 1292 |
| 154 and 162 | 12474 |