Least Common Multiple (LCM) of 68 and 28
The least common multiple (LCM) of 68 and 28 is 476.
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 68 and 28?
First, calculate the GCD of 68 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 28 = 2 remainder 12 |
| 2 | 28 ÷ 12 = 2 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 65 | 6695 |
| 12 and 15 | 60 |
| 116 and 120 | 3480 |
| 55 and 178 | 9790 |
| 105 and 141 | 4935 |