Least Common Multiple (LCM) of 62 and 98
The least common multiple (LCM) of 62 and 98 is 3038.
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 98?
First, calculate the GCD of 62 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 98 = 0 remainder 62 |
| 2 | 98 ÷ 62 = 1 remainder 36 |
| 3 | 62 ÷ 36 = 1 remainder 26 |
| 4 | 36 ÷ 26 = 1 remainder 10 |
| 5 | 26 ÷ 10 = 2 remainder 6 |
| 6 | 10 ÷ 6 = 1 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 174 | 16008 |
| 152 and 22 | 1672 |
| 173 and 117 | 20241 |
| 100 and 44 | 1100 |
| 180 and 120 | 360 |