Least Common Multiple (LCM) of 68 and 156
The least common multiple (LCM) of 68 and 156 is 2652.
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 156?
First, calculate the GCD of 68 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 156 = 0 remainder 68 |
| 2 | 156 ÷ 68 = 2 remainder 20 |
| 3 | 68 ÷ 20 = 3 remainder 8 |
| 4 | 20 ÷ 8 = 2 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 131 | 20305 |
| 74 and 96 | 3552 |
| 113 and 84 | 9492 |
| 145 and 56 | 8120 |
| 133 and 103 | 13699 |