Least Common Multiple (LCM) of 62 and 169
The least common multiple (LCM) of 62 and 169 is 10478.
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 62 and 169?
First, calculate the GCD of 62 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 169 = 0 remainder 62 |
| 2 | 169 ÷ 62 = 2 remainder 45 |
| 3 | 62 ÷ 45 = 1 remainder 17 |
| 4 | 45 ÷ 17 = 2 remainder 11 |
| 5 | 17 ÷ 11 = 1 remainder 6 |
| 6 | 11 ÷ 6 = 1 remainder 5 |
| 7 | 6 ÷ 5 = 1 remainder 1 |
| 8 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 14 | 266 |
| 49 and 99 | 4851 |
| 176 and 185 | 32560 |
| 119 and 123 | 14637 |
| 167 and 180 | 30060 |