Least Common Multiple (LCM) of 97 and 16
The least common multiple (LCM) of 97 and 16 is 1552.
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 16?
First, calculate the GCD of 97 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 16 = 6 remainder 1 |
| 2 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 11 | 1386 |
| 49 and 146 | 7154 |
| 139 and 128 | 17792 |
| 193 and 68 | 13124 |
| 145 and 147 | 21315 |