Least Common Multiple (LCM) of 28 and 120
The least common multiple (LCM) of 28 and 120 is 840.
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 28 and 120?
First, calculate the GCD of 28 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 120 = 0 remainder 28 |
| 2 | 120 ÷ 28 = 4 remainder 8 |
| 3 | 28 ÷ 8 = 3 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 23 | 3910 |
| 62 and 39 | 2418 |
| 187 and 77 | 1309 |
| 69 and 19 | 1311 |
| 146 and 137 | 20002 |