Least Common Multiple (LCM) of 97 and 88
The least common multiple (LCM) of 97 and 88 is 8536.
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 88?
First, calculate the GCD of 97 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 88 = 1 remainder 9 |
| 2 | 88 ÷ 9 = 9 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 51 | 8007 |
| 103 and 117 | 12051 |
| 19 and 45 | 855 |
| 172 and 27 | 4644 |
| 120 and 64 | 960 |