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 |
|---|---|
| 60 and 133 | 7980 |
| 13 and 147 | 1911 |
| 99 and 27 | 297 |
| 138 and 80 | 5520 |
| 96 and 137 | 13152 |