Least Common Multiple (LCM) of 144 and 62
The least common multiple (LCM) of 144 and 62 is 4464.
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 144 and 62?
First, calculate the GCD of 144 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 62 = 2 remainder 20 |
| 2 | 62 ÷ 20 = 3 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 36 | 828 |
| 43 and 107 | 4601 |
| 63 and 199 | 12537 |
| 124 and 159 | 19716 |
| 197 and 112 | 22064 |