Least Common Multiple (LCM) of 88 and 196
The least common multiple (LCM) of 88 and 196 is 4312.
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 88 and 196?
First, calculate the GCD of 88 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 196 = 0 remainder 88 |
| 2 | 196 ÷ 88 = 2 remainder 20 |
| 3 | 88 ÷ 20 = 4 remainder 8 |
| 4 | 20 ÷ 8 = 2 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 113 | 11074 |
| 106 and 53 | 106 |
| 147 and 73 | 10731 |
| 133 and 26 | 3458 |
| 11 and 105 | 1155 |