Least Common Multiple (LCM) of 56 and 98
The least common multiple (LCM) of 56 and 98 is 392.
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 56 and 98?
First, calculate the GCD of 56 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 98 = 0 remainder 56 |
| 2 | 98 ÷ 56 = 1 remainder 42 |
| 3 | 56 ÷ 42 = 1 remainder 14 |
| 4 | 42 ÷ 14 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 119 | 15351 |
| 112 and 177 | 19824 |
| 168 and 140 | 840 |
| 25 and 153 | 3825 |
| 161 and 111 | 17871 |