Least Common Multiple (LCM) of 173 and 136
The least common multiple (LCM) of 173 and 136 is 23528.
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 173 and 136?
First, calculate the GCD of 173 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 136 = 1 remainder 37 |
| 2 | 136 ÷ 37 = 3 remainder 25 |
| 3 | 37 ÷ 25 = 1 remainder 12 |
| 4 | 25 ÷ 12 = 2 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 175 | 18900 |
| 142 and 179 | 25418 |
| 113 and 78 | 8814 |
| 97 and 78 | 7566 |
| 117 and 64 | 7488 |