Least Common Multiple (LCM) of 120 and 184
The least common multiple (LCM) of 120 and 184 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 184?
First, calculate the GCD of 120 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 184 = 0 remainder 120 |
| 2 | 184 ÷ 120 = 1 remainder 64 |
| 3 | 120 ÷ 64 = 1 remainder 56 |
| 4 | 64 ÷ 56 = 1 remainder 8 |
| 5 | 56 ÷ 8 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 104 | 312 |
| 155 and 73 | 11315 |
| 139 and 45 | 6255 |
| 88 and 103 | 9064 |
| 31 and 43 | 1333 |