Least Common Multiple (LCM) of 153 and 173
The least common multiple (LCM) of 153 and 173 is 26469.
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 153 and 173?
First, calculate the GCD of 153 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 173 = 0 remainder 153 |
| 2 | 173 ÷ 153 = 1 remainder 20 |
| 3 | 153 ÷ 20 = 7 remainder 13 |
| 4 | 20 ÷ 13 = 1 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 27 | 1323 |
| 27 and 50 | 1350 |
| 54 and 157 | 8478 |
| 160 and 93 | 14880 |
| 12 and 26 | 156 |