Least Common Multiple (LCM) of 188 and 156
The least common multiple (LCM) of 188 and 156 is 7332.
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 188 and 156?
First, calculate the GCD of 188 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 156 = 1 remainder 32 |
| 2 | 156 ÷ 32 = 4 remainder 28 |
| 3 | 32 ÷ 28 = 1 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 52 | 5356 |
| 149 and 21 | 3129 |
| 111 and 147 | 5439 |
| 199 and 164 | 32636 |
| 59 and 109 | 6431 |