Least Common Multiple (LCM) of 153 and 141
The least common multiple (LCM) of 153 and 141 is 7191.
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 153 and 141?
First, calculate the GCD of 153 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 141 = 1 remainder 12 |
| 2 | 141 ÷ 12 = 11 remainder 9 |
| 3 | 12 ÷ 9 = 1 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 180 | 10620 |
| 89 and 98 | 8722 |
| 104 and 84 | 2184 |
| 152 and 103 | 15656 |
| 58 and 129 | 7482 |