Least Common Multiple (LCM) of 88 and 117
The least common multiple (LCM) of 88 and 117 is 10296.
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 117?
First, calculate the GCD of 88 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 117 = 0 remainder 88 |
| 2 | 117 ÷ 88 = 1 remainder 29 |
| 3 | 88 ÷ 29 = 3 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 117 | 7956 |
| 31 and 91 | 2821 |
| 149 and 42 | 6258 |
| 89 and 90 | 8010 |
| 169 and 138 | 23322 |