Least Common Multiple (LCM) of 88 and 118
The least common multiple (LCM) of 88 and 118 is 5192.
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 118?
First, calculate the GCD of 88 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 118 = 0 remainder 88 |
| 2 | 118 ÷ 88 = 1 remainder 30 |
| 3 | 88 ÷ 30 = 2 remainder 28 |
| 4 | 30 ÷ 28 = 1 remainder 2 |
| 5 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 144 | 1008 |
| 158 and 128 | 10112 |
| 115 and 41 | 4715 |
| 138 and 200 | 13800 |
| 120 and 39 | 1560 |