Least Common Multiple (LCM) of 115 and 88
The least common multiple (LCM) of 115 and 88 is 10120.
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 115 and 88?
First, calculate the GCD of 115 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 88 = 1 remainder 27 |
| 2 | 88 ÷ 27 = 3 remainder 7 |
| 3 | 27 ÷ 7 = 3 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 109 | 21255 |
| 40 and 167 | 6680 |
| 103 and 160 | 16480 |
| 134 and 41 | 5494 |
| 85 and 77 | 6545 |