Least Common Multiple (LCM) of 99 and 62
The least common multiple (LCM) of 99 and 62 is 6138.
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 99 and 62?
First, calculate the GCD of 99 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 62 = 1 remainder 37 |
| 2 | 62 ÷ 37 = 1 remainder 25 |
| 3 | 37 ÷ 25 = 1 remainder 12 |
| 4 | 25 ÷ 12 = 2 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 64 | 1984 |
| 34 and 165 | 5610 |
| 100 and 117 | 11700 |
| 132 and 136 | 4488 |
| 199 and 80 | 15920 |