Least Common Multiple (LCM) of 58 and 95
The least common multiple (LCM) of 58 and 95 is 5510.
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 95?
First, calculate the GCD of 58 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 95 = 0 remainder 58 |
| 2 | 95 ÷ 58 = 1 remainder 37 |
| 3 | 58 ÷ 37 = 1 remainder 21 |
| 4 | 37 ÷ 21 = 1 remainder 16 |
| 5 | 21 ÷ 16 = 1 remainder 5 |
| 6 | 16 ÷ 5 = 3 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 92 | 15180 |
| 161 and 127 | 20447 |
| 56 and 40 | 280 |
| 121 and 101 | 12221 |
| 32 and 31 | 992 |