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 |
|---|---|
| 10 and 98 | 490 |
| 139 and 69 | 9591 |
| 170 and 108 | 9180 |
| 179 and 128 | 22912 |
| 122 and 50 | 3050 |