Least Common Multiple (LCM) of 62 and 19
The least common multiple (LCM) of 62 and 19 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 62 and 19?
First, calculate the GCD of 62 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 19 = 3 remainder 5 |
| 2 | 19 ÷ 5 = 3 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 88 | 3960 |
| 138 and 155 | 21390 |
| 147 and 157 | 23079 |
| 63 and 199 | 12537 |
| 37 and 109 | 4033 |