Least Common Multiple (LCM) of 156 and 102
The least common multiple (LCM) of 156 and 102 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 102?
First, calculate the GCD of 156 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 102 = 1 remainder 54 |
| 2 | 102 ÷ 54 = 1 remainder 48 |
| 3 | 54 ÷ 48 = 1 remainder 6 |
| 4 | 48 ÷ 6 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 179 | 13783 |
| 118 and 183 | 21594 |
| 135 and 23 | 3105 |
| 39 and 151 | 5889 |
| 13 and 107 | 1391 |