Least Common Multiple (LCM) of 101 and 98
The least common multiple (LCM) of 101 and 98 is 9898.
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 101 and 98?
First, calculate the GCD of 101 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 98 = 1 remainder 3 |
| 2 | 98 ÷ 3 = 32 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 124 | 6572 |
| 135 and 123 | 5535 |
| 49 and 145 | 7105 |
| 123 and 45 | 1845 |
| 84 and 92 | 1932 |