Least Common Multiple (LCM) of 102 and 156
The least common multiple (LCM) of 102 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 102 and 156?
First, calculate the GCD of 102 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 156 = 0 remainder 102 |
| 2 | 156 ÷ 102 = 1 remainder 54 |
| 3 | 102 ÷ 54 = 1 remainder 48 |
| 4 | 54 ÷ 48 = 1 remainder 6 |
| 5 | 48 ÷ 6 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 199 | 35422 |
| 29 and 108 | 3132 |
| 101 and 128 | 12928 |
| 79 and 67 | 5293 |
| 148 and 101 | 14948 |