Least Common Multiple (LCM) of 120 and 116
The least common multiple (LCM) of 120 and 116 is 3480.
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 120 and 116?
First, calculate the GCD of 120 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 116 = 1 remainder 4 |
| 2 | 116 ÷ 4 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 121 | 21780 |
| 88 and 13 | 1144 |
| 194 and 49 | 9506 |
| 50 and 108 | 2700 |
| 26 and 103 | 2678 |