Least Common Multiple (LCM) of 156 and 107
The least common multiple (LCM) of 156 and 107 is 16692.
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 107?
First, calculate the GCD of 156 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 107 = 1 remainder 49 |
| 2 | 107 ÷ 49 = 2 remainder 9 |
| 3 | 49 ÷ 9 = 5 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 92 | 2668 |
| 125 and 16 | 2000 |
| 68 and 37 | 2516 |
| 113 and 10 | 1130 |
| 59 and 26 | 1534 |