Least Common Multiple (LCM) of 58 and 35
The least common multiple (LCM) of 58 and 35 is 2030.
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 58 and 35?
First, calculate the GCD of 58 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 35 = 1 remainder 23 |
| 2 | 35 ÷ 23 = 1 remainder 12 |
| 3 | 23 ÷ 12 = 1 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 167 | 26052 |
| 134 and 96 | 6432 |
| 149 and 167 | 24883 |
| 68 and 122 | 4148 |
| 166 and 59 | 9794 |