Least Common Multiple (LCM) of 97 and 45
The least common multiple (LCM) of 97 and 45 is 4365.
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 45?
First, calculate the GCD of 97 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 45 = 2 remainder 7 |
| 2 | 45 ÷ 7 = 6 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 128 | 19840 |
| 152 and 156 | 5928 |
| 166 and 189 | 31374 |
| 59 and 197 | 11623 |
| 153 and 145 | 22185 |