Least Common Multiple (LCM) of 162 and 169
The least common multiple (LCM) of 162 and 169 is 27378.
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 162 and 169?
First, calculate the GCD of 162 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 169 = 0 remainder 162 |
| 2 | 169 ÷ 162 = 1 remainder 7 |
| 3 | 162 ÷ 7 = 23 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 115 | 13340 |
| 144 and 21 | 1008 |
| 31 and 91 | 2821 |
| 149 and 48 | 7152 |
| 60 and 200 | 600 |