Least Common Multiple (LCM) of 141 and 153
The least common multiple (LCM) of 141 and 153 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 141 and 153?
First, calculate the GCD of 141 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 153 = 0 remainder 141 |
| 2 | 153 ÷ 141 = 1 remainder 12 |
| 3 | 141 ÷ 12 = 11 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 42 | 798 |
| 144 and 84 | 1008 |
| 184 and 148 | 6808 |
| 70 and 124 | 4340 |
| 199 and 106 | 21094 |