Least Common Multiple (LCM) of 173 and 21
The least common multiple (LCM) of 173 and 21 is 3633.
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 21?
First, calculate the GCD of 173 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 21 = 8 remainder 5 |
| 2 | 21 ÷ 5 = 4 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 85 | 1360 |
| 196 and 70 | 980 |
| 169 and 122 | 20618 |
| 152 and 65 | 9880 |
| 112 and 81 | 9072 |