Least Common Multiple (LCM) of 63 and 98
The least common multiple (LCM) of 63 and 98 is 882.
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 63 and 98?
First, calculate the GCD of 63 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 98 = 0 remainder 63 |
| 2 | 98 ÷ 63 = 1 remainder 35 |
| 3 | 63 ÷ 35 = 1 remainder 28 |
| 4 | 35 ÷ 28 = 1 remainder 7 |
| 5 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 33 | 1188 |
| 108 and 102 | 1836 |
| 75 and 188 | 14100 |
| 160 and 100 | 800 |
| 71 and 46 | 3266 |