Least Common Multiple (LCM) of 70 and 98
The least common multiple (LCM) of 70 and 98 is 490.
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 70 and 98?
First, calculate the GCD of 70 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 98 = 0 remainder 70 |
| 2 | 98 ÷ 70 = 1 remainder 28 |
| 3 | 70 ÷ 28 = 2 remainder 14 |
| 4 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 124 | 12772 |
| 144 and 75 | 3600 |
| 19 and 13 | 247 |
| 197 and 141 | 27777 |
| 43 and 98 | 4214 |