Least Common Multiple (LCM) of 97 and 58
The least common multiple (LCM) of 97 and 58 is 5626.
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 97 and 58?
First, calculate the GCD of 97 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 58 = 1 remainder 39 |
| 2 | 58 ÷ 39 = 1 remainder 19 |
| 3 | 39 ÷ 19 = 2 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 91 | 12012 |
| 154 and 70 | 770 |
| 59 and 85 | 5015 |
| 144 and 89 | 12816 |
| 42 and 118 | 2478 |