Least Common Multiple (LCM) of 187 and 132
The least common multiple (LCM) of 187 and 132 is 2244.
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 187 and 132?
First, calculate the GCD of 187 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 132 = 1 remainder 55 |
| 2 | 132 ÷ 55 = 2 remainder 22 |
| 3 | 55 ÷ 22 = 2 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 45 | 2115 |
| 88 and 80 | 880 |
| 10 and 106 | 530 |
| 147 and 150 | 7350 |
| 151 and 156 | 23556 |