Least Common Multiple (LCM) of 120 and 113
The least common multiple (LCM) of 120 and 113 is 13560.
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 113?
First, calculate the GCD of 120 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 113 = 1 remainder 7 |
| 2 | 113 ÷ 7 = 16 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 179 | 33294 |
| 26 and 156 | 156 |
| 150 and 148 | 11100 |
| 104 and 59 | 6136 |
| 133 and 144 | 19152 |