Least Common Multiple (LCM) of 118 and 76
The least common multiple (LCM) of 118 and 76 is 4484.
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 76?
First, calculate the GCD of 118 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 76 = 1 remainder 42 |
| 2 | 76 ÷ 42 = 1 remainder 34 |
| 3 | 42 ÷ 34 = 1 remainder 8 |
| 4 | 34 ÷ 8 = 4 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 51 | 4998 |
| 119 and 86 | 10234 |
| 39 and 163 | 6357 |
| 106 and 165 | 17490 |
| 18 and 137 | 2466 |