Least Common Multiple (LCM) of 88 and 173
The least common multiple (LCM) of 88 and 173 is 15224.
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 173?
First, calculate the GCD of 88 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 173 = 0 remainder 88 |
| 2 | 173 ÷ 88 = 1 remainder 85 |
| 3 | 88 ÷ 85 = 1 remainder 3 |
| 4 | 85 ÷ 3 = 28 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 92 | 4324 |
| 141 and 58 | 8178 |
| 120 and 14 | 840 |
| 17 and 189 | 3213 |
| 51 and 153 | 153 |