Least Common Multiple (LCM) of 156 and 68
The least common multiple (LCM) of 156 and 68 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 156 and 68?
First, calculate the GCD of 156 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 68 = 2 remainder 20 |
| 2 | 68 ÷ 20 = 3 remainder 8 |
| 3 | 20 ÷ 8 = 2 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 199 | 12338 |
| 109 and 28 | 3052 |
| 100 and 72 | 1800 |
| 120 and 116 | 3480 |
| 147 and 178 | 26166 |