Least Common Multiple (LCM) of 156 and 106
The least common multiple (LCM) of 156 and 106 is 8268.
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 106?
First, calculate the GCD of 156 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 106 = 1 remainder 50 |
| 2 | 106 ÷ 50 = 2 remainder 6 |
| 3 | 50 ÷ 6 = 8 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 58 | 2958 |
| 99 and 177 | 5841 |
| 152 and 33 | 5016 |
| 170 and 89 | 15130 |
| 116 and 101 | 11716 |