Least Common Multiple (LCM) of 62 and 144
The least common multiple (LCM) of 62 and 144 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 62 and 144?
First, calculate the GCD of 62 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 144 = 0 remainder 62 |
| 2 | 144 ÷ 62 = 2 remainder 20 |
| 3 | 62 ÷ 20 = 3 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 124 | 19468 |
| 131 and 55 | 7205 |
| 179 and 53 | 9487 |
| 97 and 114 | 11058 |
| 111 and 199 | 22089 |