Least Common Multiple (LCM) of 118 and 51
The least common multiple (LCM) of 118 and 51 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 51?
First, calculate the GCD of 118 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 51 = 2 remainder 16 |
| 2 | 51 ÷ 16 = 3 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 132 | 924 |
| 67 and 70 | 4690 |
| 131 and 113 | 14803 |
| 46 and 183 | 8418 |
| 179 and 64 | 11456 |