Least Common Multiple (LCM) of 117 and 88
The least common multiple (LCM) of 117 and 88 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 117 and 88?
First, calculate the GCD of 117 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 88 = 1 remainder 29 |
| 2 | 88 ÷ 29 = 3 remainder 1 |
| 3 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 89 | 7209 |
| 58 and 112 | 3248 |
| 113 and 63 | 7119 |
| 164 and 16 | 656 |
| 15 and 36 | 180 |