Least Common Multiple (LCM) of 84 and 118
The least common multiple (LCM) of 84 and 118 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 84 and 118?
First, calculate the GCD of 84 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 118 = 0 remainder 84 |
| 2 | 118 ÷ 84 = 1 remainder 34 |
| 3 | 84 ÷ 34 = 2 remainder 16 |
| 4 | 34 ÷ 16 = 2 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 196 | 19404 |
| 43 and 129 | 129 |
| 178 and 23 | 4094 |
| 107 and 106 | 11342 |
| 199 and 125 | 24875 |