Least Common Multiple (LCM) of 88 and 169
The least common multiple (LCM) of 88 and 169 is 14872.
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 88 and 169?
First, calculate the GCD of 88 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 169 = 0 remainder 88 |
| 2 | 169 ÷ 88 = 1 remainder 81 |
| 3 | 88 ÷ 81 = 1 remainder 7 |
| 4 | 81 ÷ 7 = 11 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 194 | 10476 |
| 48 and 16 | 48 |
| 164 and 89 | 14596 |
| 198 and 138 | 4554 |
| 27 and 85 | 2295 |