Least Common Multiple (LCM) of 156 and 111
The least common multiple (LCM) of 156 and 111 is 5772.
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 111?
First, calculate the GCD of 156 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 111 = 1 remainder 45 |
| 2 | 111 ÷ 45 = 2 remainder 21 |
| 3 | 45 ÷ 21 = 2 remainder 3 |
| 4 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 118 | 21830 |
| 103 and 194 | 19982 |
| 53 and 108 | 5724 |
| 106 and 103 | 10918 |
| 199 and 135 | 26865 |