Least Common Multiple (LCM) of 118 and 102
The least common multiple (LCM) of 118 and 102 is 6018.
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 102?
First, calculate the GCD of 118 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 102 = 1 remainder 16 |
| 2 | 102 ÷ 16 = 6 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 119 | 18088 |
| 53 and 147 | 7791 |
| 89 and 130 | 11570 |
| 31 and 65 | 2015 |
| 111 and 78 | 2886 |