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 |
|---|---|
| 170 and 104 | 8840 |
| 100 and 35 | 700 |
| 137 and 114 | 15618 |
| 114 and 89 | 10146 |
| 95 and 45 | 855 |