Least Common Multiple (LCM) of 169 and 42
The least common multiple (LCM) of 169 and 42 is 7098.
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 42?
First, calculate the GCD of 169 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 42 = 4 remainder 1 |
| 2 | 42 ÷ 1 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 75 | 600 |
| 12 and 46 | 276 |
| 184 and 97 | 17848 |
| 15 and 73 | 1095 |
| 149 and 114 | 16986 |