Least Common Multiple (LCM) of 62 and 24
The least common multiple (LCM) of 62 and 24 is 744.
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 24?
First, calculate the GCD of 62 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 24 = 2 remainder 14 |
| 2 | 24 ÷ 14 = 1 remainder 10 |
| 3 | 14 ÷ 10 = 1 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 180 | 21420 |
| 107 and 81 | 8667 |
| 53 and 101 | 5353 |
| 103 and 93 | 9579 |
| 15 and 10 | 30 |