Least Common Multiple (LCM) of 118 and 88
The least common multiple (LCM) of 118 and 88 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 118 and 88?
First, calculate the GCD of 118 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 88 = 1 remainder 30 |
| 2 | 88 ÷ 30 = 2 remainder 28 |
| 3 | 30 ÷ 28 = 1 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 22 | 3322 |
| 135 and 59 | 7965 |
| 73 and 21 | 1533 |
| 121 and 43 | 5203 |
| 151 and 106 | 16006 |