Least Common Multiple (LCM) of 120 and 92
The least common multiple (LCM) of 120 and 92 is 2760.
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 92?
First, calculate the GCD of 120 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 92 = 1 remainder 28 |
| 2 | 92 ÷ 28 = 3 remainder 8 |
| 3 | 28 ÷ 8 = 3 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 41 | 4428 |
| 152 and 79 | 12008 |
| 133 and 29 | 3857 |
| 165 and 193 | 31845 |
| 76 and 101 | 7676 |