Least Common Multiple (LCM) of 79 and 98
The least common multiple (LCM) of 79 and 98 is 7742.
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 79 and 98?
First, calculate the GCD of 79 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 98 = 0 remainder 79 |
| 2 | 98 ÷ 79 = 1 remainder 19 |
| 3 | 79 ÷ 19 = 4 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 160 | 5600 |
| 64 and 89 | 5696 |
| 162 and 164 | 13284 |
| 78 and 87 | 2262 |
| 16 and 25 | 400 |