Least Common Multiple (LCM) of 19 and 62
The least common multiple (LCM) of 19 and 62 is 1178.
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 19 and 62?
First, calculate the GCD of 19 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 19 ÷ 62 = 0 remainder 19 |
| 2 | 62 ÷ 19 = 3 remainder 5 |
| 3 | 19 ÷ 5 = 3 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 162 | 6966 |
| 115 and 178 | 20470 |
| 130 and 139 | 18070 |
| 55 and 78 | 4290 |
| 85 and 103 | 8755 |