Least Common Multiple (LCM) of 64 and 98
The least common multiple (LCM) of 64 and 98 is 3136.
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 64 and 98?
First, calculate the GCD of 64 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 98 = 0 remainder 64 |
| 2 | 98 ÷ 64 = 1 remainder 34 |
| 3 | 64 ÷ 34 = 1 remainder 30 |
| 4 | 34 ÷ 30 = 1 remainder 4 |
| 5 | 30 ÷ 4 = 7 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 160 | 5920 |
| 146 and 41 | 5986 |
| 110 and 136 | 7480 |
| 40 and 106 | 2120 |
| 89 and 165 | 14685 |