Least Common Multiple (LCM) of 169 and 32
The least common multiple (LCM) of 169 and 32 is 5408.
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 169 and 32?
First, calculate the GCD of 169 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 32 = 5 remainder 9 |
| 2 | 32 ÷ 9 = 3 remainder 5 |
| 3 | 9 ÷ 5 = 1 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 132 | 6732 |
| 62 and 137 | 8494 |
| 134 and 56 | 3752 |
| 67 and 67 | 67 |
| 171 and 141 | 8037 |