Least Common Multiple (LCM) of 118 and 84
The least common multiple (LCM) of 118 and 84 is 4956.
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 84?
First, calculate the GCD of 118 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 84 = 1 remainder 34 |
| 2 | 84 ÷ 34 = 2 remainder 16 |
| 3 | 34 ÷ 16 = 2 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 112 | 896 |
| 20 and 125 | 500 |
| 70 and 104 | 3640 |
| 153 and 69 | 3519 |
| 133 and 49 | 931 |