Least Common Multiple (LCM) of 156 and 186
The least common multiple (LCM) of 156 and 186 is 4836.
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 186?
First, calculate the GCD of 156 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 186 = 0 remainder 156 |
| 2 | 186 ÷ 156 = 1 remainder 30 |
| 3 | 156 ÷ 30 = 5 remainder 6 |
| 4 | 30 ÷ 6 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 87 | 10614 |
| 13 and 140 | 1820 |
| 22 and 112 | 1232 |
| 111 and 107 | 11877 |
| 33 and 111 | 1221 |