Least Common Multiple (LCM) of 188 and 76
The least common multiple (LCM) of 188 and 76 is 3572.
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 76?
First, calculate the GCD of 188 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 76 = 2 remainder 36 |
| 2 | 76 ÷ 36 = 2 remainder 4 |
| 3 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 150 | 1650 |
| 132 and 103 | 13596 |
| 10 and 12 | 60 |
| 129 and 89 | 11481 |
| 178 and 127 | 22606 |