Least Common Multiple (LCM) of 98 and 134
The least common multiple (LCM) of 98 and 134 is 6566.
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 98 and 134?
First, calculate the GCD of 98 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 134 = 0 remainder 98 |
| 2 | 134 ÷ 98 = 1 remainder 36 |
| 3 | 98 ÷ 36 = 2 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 |
|---|---|
| 106 and 86 | 4558 |
| 89 and 130 | 11570 |
| 80 and 46 | 1840 |
| 132 and 112 | 3696 |
| 93 and 24 | 744 |