Least Common Multiple (LCM) of 141 and 132
The least common multiple (LCM) of 141 and 132 is 6204.
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 141 and 132?
First, calculate the GCD of 141 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 132 = 1 remainder 9 |
| 2 | 132 ÷ 9 = 14 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 59 | 9853 |
| 102 and 135 | 4590 |
| 35 and 105 | 105 |
| 44 and 115 | 5060 |
| 160 and 152 | 3040 |